Journal of computational and applied mathematics, ISSN 0377-0427, 2008, Volume 214, Issue 1, pp. 186 - 201

The purpose of this paper is to investigate the problem of finding a common element of the set of solutions of a mixed equilibrium problem (MEP) and the set of...

Hilbert spaces | Mixed equilibrium problems | Hybrid iterative schemes | [formula omitted]-Strongly convex functions | Nonexpansive mappings | KKM mappings | η-Strongly convex functions | eta-Strongly convex functions | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INEQUALITIES | mixed equilibrium problems | CONVERGENCE | hybrid iterative schemes | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | nonexpansive mappings

Hilbert spaces | Mixed equilibrium problems | Hybrid iterative schemes | [formula omitted]-Strongly convex functions | Nonexpansive mappings | KKM mappings | η-Strongly convex functions | eta-Strongly convex functions | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INEQUALITIES | mixed equilibrium problems | CONVERGENCE | hybrid iterative schemes | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | nonexpansive mappings

Journal Article

Mathematical methods of operations research (Heidelberg, Germany), ISSN 1432-5217, 2008, Volume 67, Issue 3, pp. 375 - 390

... system of variational inequalities Lu-Chuan Ceng · Chang-yu Wang · Jen-Chih Yao Published online: 14 March 2008 © Springer-Verlag 2008 Abstract In this paper...

Demi-closedness principle | General system of variational inequalities | Mathematics | Nonexpansive mapping | 47H10 | Calculus of Variations and Optimal Control; Optimization | Common fixed point | 49J30 | Operations Research/Decision Theory | 49J40 | Inverse-strongly monotone mapping | Business/Management Science, general | 47H05 | general system of variational inequalities | WEAK | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | inverse-strongly monotone mapping | common fixed point | nonexpansive mapping | MONOTONE MAPPINGS | demi-closedness principle | FIXED-POINTS | Studies | Operations research | Mapping | Mathematical analysis

Demi-closedness principle | General system of variational inequalities | Mathematics | Nonexpansive mapping | 47H10 | Calculus of Variations and Optimal Control; Optimization | Common fixed point | 49J30 | Operations Research/Decision Theory | 49J40 | Inverse-strongly monotone mapping | Business/Management Science, general | 47H05 | general system of variational inequalities | WEAK | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | inverse-strongly monotone mapping | common fixed point | nonexpansive mapping | MONOTONE MAPPINGS | demi-closedness principle | FIXED-POINTS | Studies | Operations research | Mapping | Mathematical analysis

Journal Article

Journal of global optimization, ISSN 1573-2916, 2009, Volume 46, Issue 4, pp. 635 - 646

The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points F(S) of a nonexpansive mapping S and the set of...

Hybrid extragradient-like approximation method | Demiclosedness principle | Monotone mapping | Variational inequality | Nonexpansive mapping | Fixed point | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | WEAK-CONVERGENCE | Algorithms | Universities and colleges | Analysis | Methods

Hybrid extragradient-like approximation method | Demiclosedness principle | Monotone mapping | Variational inequality | Nonexpansive mapping | Fixed point | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | WEAK-CONVERGENCE | Algorithms | Universities and colleges | Analysis | Methods

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2010, Volume 72, Issue 3, pp. 1922 - 1937

Very recently, Takahashi and Takahashi [S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping...

System of generalized equilibria | Strictly pseudocontractive mapping | Generalized mixed equilibrium problem | Inverse-strongly-monotone mapping | Variational inequality | Fixed point | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | VARIATIONAL INEQUALITY PROBLEMS | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE SCHEME | WEAK | MATHEMATICS | OPERATORS

System of generalized equilibria | Strictly pseudocontractive mapping | Generalized mixed equilibrium problem | Inverse-strongly-monotone mapping | Variational inequality | Fixed point | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | VARIATIONAL INEQUALITY PROBLEMS | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE SCHEME | WEAK | MATHEMATICS | OPERATORS

Journal Article

Symmetry (Basel), ISSN 2073-8994, 2019, Volume 11, Issue 6, p. 811

A system of variational inclusions (GSVI) is considered in Banach spaces. An implicit iterative procedure is proposed for solving the GSVI. Strong convergence...

System of variational inclusions | Strict pseudocontraction | Implicit iterative procedure | Accretive mapping | implicit iterative procedure | COMMON SOLUTIONS | INEQUALITIES | strict pseudocontraction | MULTIDISCIPLINARY SCIENCES | GENERAL SYSTEM | accretive mapping | PROJECTION | 47H10 | CONVERGENCE THEOREMS | EXTRAGRADIENT METHOD | system of variational inclusions | MAPPINGS | 47H05 | 47J25 | OPERATORS

System of variational inclusions | Strict pseudocontraction | Implicit iterative procedure | Accretive mapping | implicit iterative procedure | COMMON SOLUTIONS | INEQUALITIES | strict pseudocontraction | MULTIDISCIPLINARY SCIENCES | GENERAL SYSTEM | accretive mapping | PROJECTION | 47H10 | CONVERGENCE THEOREMS | EXTRAGRADIENT METHOD | system of variational inclusions | MAPPINGS | 47H05 | 47J25 | OPERATORS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2011, Issue 1, pp. 1 - 18

... An extragradient-like approximation method for variational inequalities and fixed point problems Lu-Chuan Ceng 1,2 , Qamrul Hasan Ansari 3 , Ngai-Ching Wong 4* and Jen-Chih...

monotone mapping | Mathematical and Computational Biology | Mathematics | variational inequality | Topology | demiclosedness principle | strong convergence | asymptotically strict pseudocontractive mapping in the intermediate sense | modified Mann iteration process | fixed point | Analysis | extragradient-like approximation method | Mathematics, general | Applications of Mathematics | Differential Geometry | Asymptotically strict pseudocontractive mapping in the intermediate sense | Strong convergence | Extragradient-like approximation method | Monotone mapping | Variational inequality | Modified mann iteration process | Demiclosedness principle | Fixed point | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE CONSTRUCTION | WEAK | MATHEMATICS | BANACH-SPACES | INTERMEDIATE SENSE | PSEUDO-CONTRACTIONS | STRICT PSEUDOCONTRACTIVE MAPPINGS | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | OPERATORS | Usage | Inequalities (Mathematics) | Fixed point theory | Convergence (Mathematics) | Point mappings (Mathematics) | Iterative methods (Mathematics) | Tests, problems and exercises | Theorems | Fixed points (mathematics) | Approximation | Asymptotic properties | Mathematical analysis | Inequalities | Iterative algorithms | Mapping | Convergence

monotone mapping | Mathematical and Computational Biology | Mathematics | variational inequality | Topology | demiclosedness principle | strong convergence | asymptotically strict pseudocontractive mapping in the intermediate sense | modified Mann iteration process | fixed point | Analysis | extragradient-like approximation method | Mathematics, general | Applications of Mathematics | Differential Geometry | Asymptotically strict pseudocontractive mapping in the intermediate sense | Strong convergence | Extragradient-like approximation method | Monotone mapping | Variational inequality | Modified mann iteration process | Demiclosedness principle | Fixed point | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE CONSTRUCTION | WEAK | MATHEMATICS | BANACH-SPACES | INTERMEDIATE SENSE | PSEUDO-CONTRACTIONS | STRICT PSEUDOCONTRACTIVE MAPPINGS | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | OPERATORS | Usage | Inequalities (Mathematics) | Fixed point theory | Convergence (Mathematics) | Point mappings (Mathematics) | Iterative methods (Mathematics) | Tests, problems and exercises | Theorems | Fixed points (mathematics) | Approximation | Asymptotic properties | Mathematical analysis | Inequalities | Iterative algorithms | Mapping | Convergence

Journal Article

Applied mathematics and computation, ISSN 0096-3003, 2007, Volume 190, Issue 1, pp. 205 - 215

The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of...

Strong convergence | Extragradient-like approximation method | Monotone mapping | Variational inequality | Nonexpansive mapping | Fixed point | monotone mapping | CONVERGENCE THEOREM | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | fixed point | extragradient-like approximation method | nonexpansive mapping | variational inequality | MONOTONE MAPPINGS | OPERATORS | strong convergence | Methods | Equality

Strong convergence | Extragradient-like approximation method | Monotone mapping | Variational inequality | Nonexpansive mapping | Fixed point | monotone mapping | CONVERGENCE THEOREM | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | fixed point | extragradient-like approximation method | nonexpansive mapping | variational inequality | MONOTONE MAPPINGS | OPERATORS | strong convergence | Methods | Equality

Journal Article

Tamkang Journal of Mathematics, ISSN 0049-2930, 12/2015, Volume 46, Issue 4, pp. 453 - 503

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 19

...R E S E A R C H Open Access Hybrid iterative method for finding common solutions of generalized mixed equilibrium and fixed point problems Lu-Chuan Ceng 1,2...

Mathematical and Computational Biology | fixed point | hybrid iterative method | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | variational inequality | Applications of Mathematics | Topology | Generalized mixed equilibrium problem | Differential Geometry | Hybrid iterative method | Variational inequality | Nonexpansive mapping | Fixed point | HILBERT-SPACES | NONEXPANSIVE-MAPPINGS | THEOREM | FINITE FAMILY | VARIATIONAL-INEQUALITIES | MATHEMATICS | SCHEME | STEEPEST-DESCENT METHODS | EXTRAGRADIENT METHOD | VISCOSITY APPROXIMATION METHODS | STRONG-CONVERGENCE | Fixed point theory | Usage | Iterative methods (Mathematics) | Mappings (Mathematics) | Viscosity | Fixed points (mathematics) | Approximation | Mathematical analysis | Inequalities | Hilbert space | Mapping | Iterative methods | Convergence

Mathematical and Computational Biology | fixed point | hybrid iterative method | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | variational inequality | Applications of Mathematics | Topology | Generalized mixed equilibrium problem | Differential Geometry | Hybrid iterative method | Variational inequality | Nonexpansive mapping | Fixed point | HILBERT-SPACES | NONEXPANSIVE-MAPPINGS | THEOREM | FINITE FAMILY | VARIATIONAL-INEQUALITIES | MATHEMATICS | SCHEME | STEEPEST-DESCENT METHODS | EXTRAGRADIENT METHOD | VISCOSITY APPROXIMATION METHODS | STRONG-CONVERGENCE | Fixed point theory | Usage | Iterative methods (Mathematics) | Mappings (Mathematics) | Viscosity | Fixed points (mathematics) | Approximation | Mathematical analysis | Inequalities | Hilbert space | Mapping | Iterative methods | Convergence

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 5/2012, Volume 53, Issue 1, pp. 69 - 96

... equilibrium problems and optimization problems Lu-Chuan Ceng · Qamrul Hasan Ansari · Siegfried Schaible Received: 5 December 2010 / Accepted: 26 February 2011 / Published...

Hybrid extragradient-like iterative scheme | Strong convergence | System of generalized equilibrium problems | Operations Research/Decision Theory | Fixed points | Generalized mixed equilibrium problem | Computer Science, general | Optimization problems | Optimization | Nonexpansive mappings | Economics / Management Science | Real Functions | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | VARIATIONAL INEQUALITY PROBLEMS | STRONG-CONVERGENCE THEOREMS | ITERATIVE SCHEME | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | STEEPEST-DESCENT METHODS | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | Algorithms | Islam | Analysis | Christianity and other religions | Methods | Studies | Mapping | Equilibrium

Hybrid extragradient-like iterative scheme | Strong convergence | System of generalized equilibrium problems | Operations Research/Decision Theory | Fixed points | Generalized mixed equilibrium problem | Computer Science, general | Optimization problems | Optimization | Nonexpansive mappings | Economics / Management Science | Real Functions | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | VARIATIONAL INEQUALITY PROBLEMS | STRONG-CONVERGENCE THEOREMS | ITERATIVE SCHEME | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | STEEPEST-DESCENT METHODS | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | Algorithms | Islam | Analysis | Christianity and other religions | Methods | Studies | Mapping | Equilibrium

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 29

... Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and ﬁxed point problems Jin-Lin Guan 1 , Lu-Chuan...

Iterative scheme | Strong convergence | Hilbert spaces | Mathematics | 47J22 | 47H10 | Split monotone variational inclusion | Variational inequality | Analysis | 47H09 | Mathematics, general | Applications of Mathematics | 47H05 | k -strict pseudo-contractions | Fixed point | k-strict pseudo-contractions | STRICT PSEUDO-CONTRACTIONS | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | APPROXIMATION | ALGORITHMS | WEAK | MATHEMATICS | ITERATIVE METHODS | OPERATORS | Theorems | Hilbert space | Queuing theory | Iterative methods | Convergence | Research

Iterative scheme | Strong convergence | Hilbert spaces | Mathematics | 47J22 | 47H10 | Split monotone variational inclusion | Variational inequality | Analysis | 47H09 | Mathematics, general | Applications of Mathematics | 47H05 | k -strict pseudo-contractions | Fixed point | k-strict pseudo-contractions | STRICT PSEUDO-CONTRACTIONS | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | APPROXIMATION | ALGORITHMS | WEAK | MATHEMATICS | ITERATIVE METHODS | OPERATORS | Theorems | Hilbert space | Queuing theory | Iterative methods | Convergence | Research

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 50

... Relaxed and hybrid viscosity methods for general system of variational inequalities with split feasibility problem constraint Lu-Chuan Ceng 1,2 and Jen-Chih Yao 3,4...

general system of variational inequalities | split feasibility problem | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | relaxed and hybrid viscosity methods | fixed point problem | strong convergence | Fixed point problem | Strong convergence | Relaxed and hybrid viscosity methods | Split feasibility problem | General system of variational inequalities | STRICT PSEUDO-CONTRACTIONS | APPROXIMATION METHODS | NONEXPANSIVE-MAPPINGS | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | CQ ALGORITHM | MATHEMATICS | WEAK-CONVERGENCE | EXTRAGRADIENT METHOD | INVERSE PROBLEMS | FIXED-POINT PROBLEMS | Fixed point theory | Convergence (Mathematics) | Contraction operators | Inequalities (Mathematics) | Usage | Hilbert space

general system of variational inequalities | split feasibility problem | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | relaxed and hybrid viscosity methods | fixed point problem | strong convergence | Fixed point problem | Strong convergence | Relaxed and hybrid viscosity methods | Split feasibility problem | General system of variational inequalities | STRICT PSEUDO-CONTRACTIONS | APPROXIMATION METHODS | NONEXPANSIVE-MAPPINGS | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | CQ ALGORITHM | MATHEMATICS | WEAK-CONVERGENCE | EXTRAGRADIENT METHOD | INVERSE PROBLEMS | FIXED-POINT PROBLEMS | Fixed point theory | Convergence (Mathematics) | Contraction operators | Inequalities (Mathematics) | Usage | Hilbert space

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 1/2014, Volume 2014, pp. 1 - 25

We introduce new implicit and explicit iterative algorithms for finding a common element of the set of solutions of the minimization problem for a convex and...

SYSTEM | MATHEMATICS, APPLIED | INEQUALITIES | HYBRID-EXTRAGRADIENT METHOD | WEAK-CONVERGENCE | ITERATIVE METHOD | SPLIT FEASIBILITY | MAPPINGS | MONOTONE OPERATORS | STRONG-CONVERGENCE THEOREM | FIXED-POINT PROBLEMS | Algorithms | Mathematical research | Convex functions | Hilbert space | Research | Variational principles | Iterative methods (Mathematics) | Economic models | Colleges & universities | Mathematical functions | Euclidean space | Equilibrium | Optimization | Power plants

SYSTEM | MATHEMATICS, APPLIED | INEQUALITIES | HYBRID-EXTRAGRADIENT METHOD | WEAK-CONVERGENCE | ITERATIVE METHOD | SPLIT FEASIBILITY | MAPPINGS | MONOTONE OPERATORS | STRONG-CONVERGENCE THEOREM | FIXED-POINT PROBLEMS | Algorithms | Mathematical research | Convex functions | Hilbert space | Research | Variational principles | Iterative methods (Mathematics) | Economic models | Colleges & universities | Mathematical functions | Euclidean space | Equilibrium | Optimization | Power plants

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 2011, Volume 2011, Issue 1, pp. 626159 - 22

... Common Solutions of a V ariational Inequality , a General System of V ariational Inequalities, and a Fixed-Point Problem via a Hybrid Extragradient Method Lu-Chuan...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | STRICT PSEUDO-CONTRACTIONS | APPROXIMATE SOLUTIONS | WEAK | MATHEMATICS | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | STEEPEST-DESCENT METHODS | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE ALGORITHM | OPERATORS | Mathematical analysis | Hilbert space | Optimization

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | STRICT PSEUDO-CONTRACTIONS | APPROXIMATE SOLUTIONS | WEAK | MATHEMATICS | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | STEEPEST-DESCENT METHODS | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE ALGORITHM | OPERATORS | Mathematical analysis | Hilbert space | Optimization

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 12/2011, Volume 151, Issue 3, pp. 489 - 512

...J Optim Theory Appl (2011) 151:489–512 DOI 10.1007/s10957-011-9882-7 Iterative Methods for Triple Hierarchical V ariational Inequalities in Hilbert Spaces Lu...

Mathematics | Theory of Computation | Optimization | Nonexpansive mappings | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Explicit schemes | Fixed points | Engineering, general | Applications of Mathematics | Iterative methods | Implicit schemes | Triple hierarchical variational inequalities | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ALGORITHM | FIXED-POINT SET | Studies | Approximation | Inequalities | Hilbert space | Mathematical models | Mapping | Convergence

Mathematics | Theory of Computation | Optimization | Nonexpansive mappings | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Explicit schemes | Fixed points | Engineering, general | Applications of Mathematics | Iterative methods | Implicit schemes | Triple hierarchical variational inequalities | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ALGORITHM | FIXED-POINT SET | Studies | Approximation | Inequalities | Hilbert space | Mathematical models | Mapping | Convergence

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 41

... methods for systems of variational inequalities Lu-Chuan Ceng 1,2 and Ching-Feng Wen 3,4* * Correspondence: cfwen@kmu.edu.tw 3 Center for Fundamental Science...

general system of variational inequalities | hybrid viscosity iterative algorithm | nonexpansive mapping | Mathematics | 47J20 | inverse-strongly monotone mapping | 49J30 | Analysis | general mixed equilibrium | 47H09 | Mathematics, general | 49M05 | Applications of Mathematics | COMMON SOLUTIONS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | WEAK-CONVERGENCE THEOREMS | GENERAL SYSTEM | MONOTONE OPERATORS | ITERATIVE ALGORITHMS | MIXED EQUILIBRIUM PROBLEMS | MATHEMATICS | SPLIT FEASIBILITY | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | Viscosity | Approximation | Mathematical analysis | Inequalities | Iterative algorithms | Linear operators | Optimization | Convergence

general system of variational inequalities | hybrid viscosity iterative algorithm | nonexpansive mapping | Mathematics | 47J20 | inverse-strongly monotone mapping | 49J30 | Analysis | general mixed equilibrium | 47H09 | Mathematics, general | 49M05 | Applications of Mathematics | COMMON SOLUTIONS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | WEAK-CONVERGENCE THEOREMS | GENERAL SYSTEM | MONOTONE OPERATORS | ITERATIVE ALGORITHMS | MIXED EQUILIBRIUM PROBLEMS | MATHEMATICS | SPLIT FEASIBILITY | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | Viscosity | Approximation | Mathematical analysis | Inequalities | Iterative algorithms | Linear operators | Optimization | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 34

... On solutions of a system of variational inequalities and ﬁxed point problems in Banach spaces Lu-Chuan Ceng 1 ,A b d u lL a t i f 2* and Jen-Chih Yao 2,3 * Correspondence...

Mathematical and Computational Biology | nonexpansive mapping | Mathematics | two-step relaxed extragradient method | Topology | uniform convexity | uniform smoothness | sunny nonexpansive retraction | system of variational inequalities | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | Two-step relaxed extragradient method | Uniform smoothness | System of variational inequalities | Nonexpansive mapping | Fixed point | Sunny nonexpansive retraction | Uniform convexity | MATHEMATICS | NONEXPANSIVE-MAPPINGS | CONVERGENCE | Inequalities (Mathematics) | Fixed point theory | Usage | Banach spaces | Contraction operators

Mathematical and Computational Biology | nonexpansive mapping | Mathematics | two-step relaxed extragradient method | Topology | uniform convexity | uniform smoothness | sunny nonexpansive retraction | system of variational inequalities | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | Two-step relaxed extragradient method | Uniform smoothness | System of variational inequalities | Nonexpansive mapping | Fixed point | Sunny nonexpansive retraction | Uniform convexity | MATHEMATICS | NONEXPANSIVE-MAPPINGS | CONVERGENCE | Inequalities (Mathematics) | Fixed point theory | Usage | Banach spaces | Contraction operators

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 25

... s s Hybrid viscosity CQ method for ﬁnding a common solution of a variational inequality, a general system of variational inequalities, and a ﬁxed point problem Lu-Chuan...

Mann-type iterative method | inverse-strong monotonicity | Mathematical and Computational Biology | CQ method | asymptotically strictly pseudocontractive mapping in the intermediate sense | Mathematics | Topology | variational inequalities | extragradient method | Analysis | viscosity approximation method | Mathematics, general | Applications of Mathematics | Differential Geometry | Inverse-strong monotonicity | Asymptotically strictly pseudocontractive mapping in the intermediate sense | Extragradient method | Viscosity approximation method | Variational inequalities | STRICT PSEUDO-CONTRACTIONS | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE CONSTRUCTION | MATHEMATICS | APPROXIMATION METHOD | BANACH-SPACES | WEAK-CONVERGENCE | INTERMEDIATE SENSE | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | Inequalities (Mathematics) | Fixed point theory | Usage | Contraction operators

Mann-type iterative method | inverse-strong monotonicity | Mathematical and Computational Biology | CQ method | asymptotically strictly pseudocontractive mapping in the intermediate sense | Mathematics | Topology | variational inequalities | extragradient method | Analysis | viscosity approximation method | Mathematics, general | Applications of Mathematics | Differential Geometry | Inverse-strong monotonicity | Asymptotically strictly pseudocontractive mapping in the intermediate sense | Extragradient method | Viscosity approximation method | Variational inequalities | STRICT PSEUDO-CONTRACTIONS | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE CONSTRUCTION | MATHEMATICS | APPROXIMATION METHOD | BANACH-SPACES | WEAK-CONVERGENCE | INTERMEDIATE SENSE | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | Inequalities (Mathematics) | Fixed point theory | Usage | Contraction operators

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 14

... and iterative algorithm for a system of generalized set-valued strongly nonlinear mixed implicit quasi-variational-like inequalities Yang-Qing Qiu, Jin-Zuo Chen and Lu...

47H10 | 49J30 | convergence | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | system of generalized mixed implicit quasi-variational-like inequalities | auxiliary principle | iterative algorithm | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | Construction | Algorithms | Inequalities | Nonlinearity | Mathematical models | Iterative algorithms | Iterative methods | Convergence

47H10 | 49J30 | convergence | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | system of generalized mixed implicit quasi-variational-like inequalities | auxiliary principle | iterative algorithm | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | Construction | Algorithms | Inequalities | Nonlinearity | Mathematical models | Iterative algorithms | Iterative methods | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 26

... Latif 1* , Lu-Chuan Ceng 2 and Qamrul Hasan Ansari 3 * Correspondence: alatif@kau.edu.sa 1 Department of Mathematics, King Abdulaziz University, Jeddah, 21589...

equilibrium problems

equilibrium problems