Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2008, Issue 1, pp. 1 - 19

... Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces Somyot Plubtieng and Kasamsuk...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | HILBERT | MATHEMATICS | STRONG-CONVERGENCE THEOREMS | ALGORITHMS | PARALLEL-PROJECTION METHODS | OPERATORS | Studies | Problems | Tomography | Banach spaces | Iterative methods | Methods | Mathematical programming

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | HILBERT | MATHEMATICS | STRONG-CONVERGENCE THEOREMS | ALGORITHMS | PARALLEL-PROJECTION METHODS | OPERATORS | Studies | Problems | Tomography | Banach spaces | Iterative methods | Methods | Mathematical programming

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 336, Issue 1, pp. 455 - 469

In this paper, we introduce two iterative schemes by the general iterative method for finding a common element of the set of an equilibrium problem and the set...

Equilibrium problem | Viscosity approximation method | Nonexpansive mapping | Minimization problem | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | fixed point | equilibrium problem | viscosity approximation method | minimization problem | nonexpansive mapping | VISCOSITY APPROXIMATION METHODS

Equilibrium problem | Viscosity approximation method | Nonexpansive mapping | Minimization problem | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | fixed point | equilibrium problem | viscosity approximation method | minimization problem | nonexpansive mapping | VISCOSITY APPROXIMATION METHODS

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2008, Volume 197, Issue 2, pp. 548 - 558

In this paper, we introduce a new iterative scheme for finding the common element of the set of fixed points of a nonexpansive mapping, the set of solutions of...

Strictly pseudocontractive mapping | Equilibrium problem | Variational inequality | α-Inverse-strongly monotone mapping | Nonexpansive mapping | Fixed point | MATHEMATICS, APPLIED | strictly pseudocontractive mapping | INEQUALITIES | equilibrium problem | nonexpansive mapping | alpha-inverse-strongly monotone mapping | variational inequality | WEAK | fixed point | THEOREMS | EXTRAGRADIENT METHOD | VISCOSITY APPROXIMATION METHODS | STRONG-CONVERGENCE

Strictly pseudocontractive mapping | Equilibrium problem | Variational inequality | α-Inverse-strongly monotone mapping | Nonexpansive mapping | Fixed point | MATHEMATICS, APPLIED | strictly pseudocontractive mapping | INEQUALITIES | equilibrium problem | nonexpansive mapping | alpha-inverse-strongly monotone mapping | variational inequality | WEAK | fixed point | THEOREMS | EXTRAGRADIENT METHOD | VISCOSITY APPROXIMATION METHODS | STRONG-CONVERGENCE

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 12

... projection methods for sums of two monotone operators http://crossmark.crossref.org/dialog/?doi=10.1186/s13660-017-1338-7&domain=pdf Web End = Tadchai Yuying1 and Somyot...

hybrid projection methods | shrinking projection methods | monotone operators and resolvent | MATHEMATICS | ZERO | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | Operators | Theorems | Algorithms | Inequalities | Projection | Mathematical models | Convergence | Sums | Research

hybrid projection methods | shrinking projection methods | monotone operators and resolvent | MATHEMATICS | ZERO | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | Operators | Theorems | Algorithms | Inequalities | Projection | Mathematical models | Convergence | Sums | Research

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 8/2014, Volume 162, Issue 2, pp. 589 - 604

... in Reﬂexive Banach Spaces Somyot Plubtieng · Tipphawan Thammathiwat Received: 5 May 2012 / Accepted: 26 April 2013 / Published online: 11 May 2013 © Springer Science...

Fan-KKM theorem | Brouwer fixed point theorem | Calculus of Variations and Optimal Control; Optimization | Semimonotonicity | Operations Research/Decision Theory | Complete semicontinuous | Generalized mixed vector variational-like inequalities | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Optimization | COMPLEMENTARITY-PROBLEMS | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies | Banach spaces | Analysis | Theorems | Mathematical analysis | Inequalities | Mapping | Vectors (mathematics) | Banach space

Fan-KKM theorem | Brouwer fixed point theorem | Calculus of Variations and Optimal Control; Optimization | Semimonotonicity | Operations Research/Decision Theory | Complete semicontinuous | Generalized mixed vector variational-like inequalities | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Optimization | COMPLEMENTARITY-PROBLEMS | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies | Banach spaces | Analysis | Theorems | Mathematical analysis | Inequalities | Mapping | Vectors (mathematics) | Banach space

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2009, Issue 1, pp. 1 - 20

... A Viscosity Approximation Method for Finding Common Solutions of V ariational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces Somyot...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | GENERAL ITERATIVE METHOD | ALGORITHMS | OPERATORS | Fuzzy sets | Set theory | Fixed point theory | Approximation theory | Hilbert space | Research | Studies | Problems | Optimization | Mathematical programming

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | GENERAL ITERATIVE METHOD | ALGORITHMS | OPERATORS | Fuzzy sets | Set theory | Fixed point theory | Approximation theory | Hilbert space | Research | Studies | Problems | Optimization | Mathematical programming

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 2018, Volume 2018, Issue 1, pp. 1 - 21

... subgradient methods for solving bilevel equilibrium problems Tadchai Yuying1, Bui Van Dinh2, Do Sang Kim3 and Somyot Plubtieng1,4* *Correspondence: somyotp@nu.ac.th...

Armijo line search | Extragradient Subgradient-Halpern methods | Strong convergence | Bilevel equilibrium problems | GENERALIZED MONOTONE BIFUNCTIONS | WEAK | MATHEMATICS | MATHEMATICS, APPLIED | KY FAN INEQUALITIES | OPTIMIZATION | ALGORITHMS | STRONG-CONVERGENCE | Equilibrium methods | Hilbert space | Algorithms | Convergence | 65K15 | 90C25 | 65K10 | Review | 47J25

Armijo line search | Extragradient Subgradient-Halpern methods | Strong convergence | Bilevel equilibrium problems | GENERALIZED MONOTONE BIFUNCTIONS | WEAK | MATHEMATICS | MATHEMATICS, APPLIED | KY FAN INEQUALITIES | OPTIMIZATION | ALGORITHMS | STRONG-CONVERGENCE | Equilibrium methods | Hilbert space | Algorithms | Convergence | 65K15 | 90C25 | 65K10 | Review | 47J25

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2009, Issue 1, pp. 1 - 16

... An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces Somyot Plubtieng and W anna...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | INEQUALITIES | STRONG-CONVERGENCE THEOREMS | WEAK-CONVERGENCE | Fuzzy sets | Inequalities (Mathematics) | Set theory | Research | Banach spaces | Iterative methods (Mathematics) | Operator theory | Studies | Operations research | Hilbert space | Algorithms

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | INEQUALITIES | STRONG-CONVERGENCE THEOREMS | WEAK-CONVERGENCE | Fuzzy sets | Inequalities (Mathematics) | Set theory | Research | Banach spaces | Iterative methods (Mathematics) | Operator theory | Studies | Operations research | Hilbert space | Algorithms

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2011, Volume 2011, Issue 1, pp. 1 - 11

... Areerat Arunchai and Somyot Plubtieng * * Correspondence: somyotp@ nu.ac.th Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000...

measure of weak noncompactness | Analysis | uniformly asymptotically regular | Mathematics, general | Mathematics | Applications of Mathematics | Krasnoselskii's fixed point theorem | asymptotically nonexpansive mapping | weakly-strongly continuous mapping | Weakly-strongly continuous mapping | Asymptotically nonexpansive mapping | Measure of weak noncompactness | Uniformly asymptotically regular | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE THEOREMS | OPERATORS | EQUATION | Theorems | Fixed points (mathematics) | Mapping | Banach space | Asymptotic properties | Inequalities

measure of weak noncompactness | Analysis | uniformly asymptotically regular | Mathematics, general | Mathematics | Applications of Mathematics | Krasnoselskii's fixed point theorem | asymptotically nonexpansive mapping | weakly-strongly continuous mapping | Weakly-strongly continuous mapping | Asymptotically nonexpansive mapping | Measure of weak noncompactness | Uniformly asymptotically regular | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE THEOREMS | OPERATORS | EQUATION | Theorems | Fixed points (mathematics) | Mapping | Banach space | Asymptotic properties | Inequalities

Journal Article

Bulletin of the Iranian Mathematical Society, ISSN 1018-6301, 12/2016, Volume 42, Issue 6, pp. 1583 - 1595

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 5/2014, Volume 2014, pp. 1 - 8

We modify the three-step iterative schemes to prove the strong convergence theorems by using the hybrid projection methods for finding a common element of the...

AMENABLE SEMIGROUPS | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIONS | FINITE FAMILY | STRONG-CONVERGENCE THEOREMS | FIXED-POINTS | Mathematical research | Group theory | Fixed point theory | Convergence (Mathematics) | Research | Iterative methods (Mathematics) | Mappings (Mathematics) | Calculus | Hilbert space | Quantum theory | Optimization | Methods | Colleges & universities

AMENABLE SEMIGROUPS | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIONS | FINITE FAMILY | STRONG-CONVERGENCE THEOREMS | FIXED-POINTS | Mathematical research | Group theory | Fixed point theory | Convergence (Mathematics) | Research | Iterative methods (Mathematics) | Mappings (Mathematics) | Calculus | Hilbert space | Quantum theory | Optimization | Methods | Colleges & universities

Journal Article

Journal of Approximation Theory, ISSN 0021-9045, 2007, Volume 149, Issue 2, pp. 103 - 115

In this paper, we establish strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the hybrid...

Asymptotic fixed point | Common fixed point | Relatively nonexpansive mapping | Generalized projection | Nonexpansive mapping | MATHEMATICS | asymptotic fixed point | APPROXIMATION | WEAK-CONVERGENCE | common fixed point | nonexpansive mapping | EXAMPLE | relatively nonexpansive mapping | OPERATORS | generalized projection

Asymptotic fixed point | Common fixed point | Relatively nonexpansive mapping | Generalized projection | Nonexpansive mapping | MATHEMATICS | asymptotic fixed point | APPROXIMATION | WEAK-CONVERGENCE | common fixed point | nonexpansive mapping | EXAMPLE | relatively nonexpansive mapping | OPERATORS | generalized projection

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2010, Volume 2010, Issue 1, pp. 1 - 12

... Convergence Theorems for a System of Mixed Equilibrium Problems and Nonspreading Mappings in a Hilbert Space Somyot Plubtieng and Kamonrat Sombut Department...

Mathematics, general | Mathematics | Applications of Mathematics | Analysis | MATHEMATICS | MATHEMATICS, APPLIED | Studies | Problems | Hilbert space | Mathematical functions | Banach spaces | Mathematical analysis | Theorems | Mapping | Inequalities | Convergence

Mathematics, general | Mathematics | Applications of Mathematics | Analysis | MATHEMATICS | MATHEMATICS, APPLIED | Studies | Problems | Hilbert space | Mathematical functions | Banach spaces | Mathematical analysis | Theorems | Mapping | Inequalities | Convergence

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 6/2011, Volume 50, Issue 2, pp. 313 - 327

... problems in Hilbert spaces Somyot Plubtieng · Tipphawan Thammathiwat Received: 9 July 2009 / Accepted: 1 July 2010 / Published online: 11 July 2010 © Springer Science...

Equilibrium problem | Operations Research/Decision Theory | Minimization problem | Computer Science, general | Viscosity approximation method | Optimization | Nonexpansive mapping | Economics / Management Science | Real Functions | CONVERGENCE THEOREM | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EXTRAGRADIENT METHOD | GENERAL ITERATIVE METHOD

Equilibrium problem | Operations Research/Decision Theory | Minimization problem | Computer Science, general | Viscosity approximation method | Optimization | Nonexpansive mapping | Economics / Management Science | Real Functions | CONVERGENCE THEOREM | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EXTRAGRADIENT METHOD | GENERAL ITERATIVE METHOD

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1812, 9/2012, Volume 2010, Issue 1, pp. 1 - 17

... Methods for Equilibrium Problems and Fixed Points Problems of a Countable Family of Relatively Nonexpansive Mappings in Banach Spaces Somyot Plubtieng and W anna...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | ITERATIVE METHOD | SCHEME | STRONG-CONVERGENCE THEOREMS | CQ METHOD | APPROXIMATION | Fixed point theory | Research | Banach spaces | Mappings (Mathematics) | Studies | Problems

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | ITERATIVE METHOD | SCHEME | STRONG-CONVERGENCE THEOREMS | CQ METHOD | APPROXIMATION | Fixed point theory | Research | Banach spaces | Mappings (Mathematics) | Studies | Problems

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 224, Issue 2, pp. 614 - 621

In this paper, we introduce an iterative process for finding the common element of the set of common fixed points of a countable family of nonexpansive...

Fixed point problem | Monotone mapping | Equilibrium problem | Variational inequality | Accretive operator | Nonexpansive mapping | MATHEMATICS, APPLIED | APPROXIMATION

Fixed point problem | Monotone mapping | Equilibrium problem | Variational inequality | Accretive operator | Nonexpansive mapping | MATHEMATICS, APPLIED | APPROXIMATION

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 9

... S E A R C H Open Access Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces Somyot Plubtieng...

complete metric space | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | u -distance | Ekeland’s variational principle | Complete metric space | Ekeland's variational principle | U-distance | MATHEMATICS | MATHEMATICS, APPLIED | u-distance | Metric space | Variational principles | Mathematical analysis | Inequalities

complete metric space | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | u -distance | Ekeland’s variational principle | Complete metric space | Ekeland's variational principle | U-distance | MATHEMATICS | MATHEMATICS, APPLIED | u-distance | Metric space | Variational principles | Mathematical analysis | Inequalities

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 2/2012, Volume 2013, pp. 1 - 8

The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of fixed points of quasi-nonexpansive mappings and the...

PROJECTION | MATHEMATICS, APPLIED | ERRORS | SETS | EXTRAGRADIENT METHOD | NOOR ITERATIONS | CQ ALGORITHM | Fuzzy sets | Fixed point theory | Set theory | Convergence (Mathematics) | Research | Mathematical research | Studies | Problems | Algorithms | Optimization | Sequences | Theorems | Fixed points (mathematics) | Feasibility | Hilbert space | Iterative algorithms | Mapping | Convergence

PROJECTION | MATHEMATICS, APPLIED | ERRORS | SETS | EXTRAGRADIENT METHOD | NOOR ITERATIONS | CQ ALGORITHM | Fuzzy sets | Fixed point theory | Set theory | Convergence (Mathematics) | Research | Mathematical research | Studies | Problems | Algorithms | Optimization | Sequences | Theorems | Fixed points (mathematics) | Feasibility | Hilbert space | Iterative algorithms | Mapping | Convergence

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 7/2014, Volume 2014, pp. 1 - 10

We introduce a new generalized system of nonlinear variational inequality problems (GSNVIP) by using the generalized projection method. Moreover, we introduce...

MATHEMATICS | CONVERGENCE | Inequalities (Mathematics) | Research | Banach spaces | Variational principles | Mathematical research | Iterative methods (Mathematics) | Problems | Stochastic models | Inequality

MATHEMATICS | CONVERGENCE | Inequalities (Mathematics) | Research | Banach spaces | Variational principles | Mathematical research | Iterative methods (Mathematics) | Problems | Stochastic models | Inequality

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 11

... A R C H Open Access Vectorial form of Ekeland-type variational principle Kanokwan Sitthithakerngkiet and Somyot Plubtieng * * Correspondence: Somyotp@nu.ac.th...

vector variational principle | Mathematical and Computational Biology | Analysis | countably orderable sets | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Ekeland’s variational principle | Ekeland's variational principle | Vector variational principle | Countably orderable sets | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEORY | THEOREMS | OPTIMIZATION | EQUILIBRIUM PROBLEMS | SET-VALUED MAPPINGS | Fixed point theory | Usage | Metric spaces | Variational principles | Theorems | Maps | Arches | Metric space | Mathematical analysis

vector variational principle | Mathematical and Computational Biology | Analysis | countably orderable sets | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Ekeland’s variational principle | Ekeland's variational principle | Vector variational principle | Countably orderable sets | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEORY | THEOREMS | OPTIMIZATION | EQUILIBRIUM PROBLEMS | SET-VALUED MAPPINGS | Fixed point theory | Usage | Metric spaces | Variational principles | Theorems | Maps | Arches | Metric space | Mathematical analysis

Journal Article

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