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

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 19

... problem for two quasi-pseudo-contractive operators and its algorithm construction Yonghong Yao 1 , Yeong-Cheng Liou 2 and Jen-Chih Yao 3,4* * Correspondence: yaojc...

Mathematical and Computational Biology | Mathematics | Topology | directed operator | quasi-pseudo-contractive operator | 90C25 | Analysis | demicontractive operator | 47H09 | Mathematics, general | split common fixed point problem | Applications of Mathematics | Differential Geometry | 47J25 | quasi-nonexpansive operator | 65J15 | HILBERT-SPACES | MATHEMATICS, APPLIED | METRIC-SPACES | ITERATIVE ALGORITHMS | WEAK | MATHEMATICS | BANACH-SPACES | MAPPINGS | STRONG-CONVERGENCE | Fixed point theory | Usage | Convergence (Mathematics) | Algorithms | Operator theory | Operators | Construction | Theorems | Fixed points (mathematics) | Iterative algorithms | Convergence

Mathematical and Computational Biology | Mathematics | Topology | directed operator | quasi-pseudo-contractive operator | 90C25 | Analysis | demicontractive operator | 47H09 | Mathematics, general | split common fixed point problem | Applications of Mathematics | Differential Geometry | 47J25 | quasi-nonexpansive operator | 65J15 | HILBERT-SPACES | MATHEMATICS, APPLIED | METRIC-SPACES | ITERATIVE ALGORITHMS | WEAK | MATHEMATICS | BANACH-SPACES | MAPPINGS | STRONG-CONVERGENCE | Fixed point theory | Usage | Convergence (Mathematics) | Algorithms | Operator theory | Operators | Construction | Theorems | Fixed points (mathematics) | Iterative algorithms | Convergence

Journal Article

Applied mathematics & optimization, ISSN 1432-0606, 2017, Volume 78, Issue 3, pp. 613 - 641

... Convex Feasibility Problems Xiaopeng Zhao 1 · Kung Fu Ng 2 · Chong Li 3 · Jen-Chih Yao 4,5 Published online: 2 May 2017 © Springer Science+Business Media New York...

65J05 | Systems Theory, Control | Theoretical, Mathematical and Computational Physics | Projection algorithm | Mathematics | Mathematical Methods in Physics | Linear regularity | Convex feasibility problem | 41A25 | Calculus of Variations and Optimal Control; Optimization | 90C25 | 47H09 | Numerical and Computational Physics, Simulation | MATHEMATICS, APPLIED | INFINITE SYSTEM | SETS | OPTIMIZATION | ERROR-BOUNDS | ALGORITHMS | HILBERT-SPACE | STRONG CHIP | Medical colleges | Algorithms | Analysis | Methods | Computational geometry | Projection | Feasibility | Hilbert space | Convexity | Regularity | Convergence

65J05 | Systems Theory, Control | Theoretical, Mathematical and Computational Physics | Projection algorithm | Mathematics | Mathematical Methods in Physics | Linear regularity | Convex feasibility problem | 41A25 | Calculus of Variations and Optimal Control; Optimization | 90C25 | 47H09 | Numerical and Computational Physics, Simulation | MATHEMATICS, APPLIED | INFINITE SYSTEM | SETS | OPTIMIZATION | ERROR-BOUNDS | ALGORITHMS | HILBERT-SPACE | STRONG CHIP | Medical colleges | Algorithms | Analysis | Methods | Computational geometry | Projection | Feasibility | Hilbert space | Convexity | Regularity | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 13

... theorems by hybrid methods for the split common null point problem in Banach spaces Wataru Takahashi 1,2,3 and Jen-Chih Yao 4,5* * Correspondence: yaojc...

hybrid method | Mathematical and Computational Biology | duality mapping | Mathematics | Topology | split common null point problem | metric resolvent | fixed point | Analysis | shrinking projection method | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | 47H05 | MATHEMATICS | NONEXPANSIVE-MAPPINGS | MAXIMAL MONOTONE-OPERATORS | Usage | Convergence (Mathematics) | Mathematical models | Banach spaces | Projection | Theorems | Banach space | Mathematical analysis | Convergence | Mathematical programming

hybrid method | Mathematical and Computational Biology | duality mapping | Mathematics | Topology | split common null point problem | metric resolvent | fixed point | Analysis | shrinking projection method | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | 47H05 | MATHEMATICS | NONEXPANSIVE-MAPPINGS | MAXIMAL MONOTONE-OPERATORS | Usage | Convergence (Mathematics) | Mathematical models | Banach spaces | Projection | Theorems | Banach space | Mathematical analysis | Convergence | Mathematical programming

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 43

... Access Bregman weak relatively nonexpansive mappings in Banach spaces Eskandar Naraghirad 1,2 and Jen-Chih Yao 3,4* * Correspondence: yaojc@kmu.edu.tw 3 Center...

uniformly smooth function | Mathematical and Computational Biology | uniformly convex function | Mathematics | Topology | strong convergence | Bregman function | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | Bregman weak relatively nonexpansive mapping | Strong convergence | Uniformly smooth function | Uniformly convex function | Fixed point | EXISTENCE | ALGORITHM | STRONG-CONVERGENCE THEOREMS | NONLINEAR INTEGRAL-EQUATIONS | MATHEMATICS | COMMON FIXED-POINT | EQUILIBRIUM PROBLEMS | MONOTONE-OPERATORS | Fixed point theory | Usage | Banach spaces | Contraction operators

uniformly smooth function | Mathematical and Computational Biology | uniformly convex function | Mathematics | Topology | strong convergence | Bregman function | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | Bregman weak relatively nonexpansive mapping | Strong convergence | Uniformly smooth function | Uniformly convex function | Fixed point | EXISTENCE | ALGORITHM | STRONG-CONVERGENCE THEOREMS | NONLINEAR INTEGRAL-EQUATIONS | MATHEMATICS | COMMON FIXED-POINT | EQUILIBRIUM PROBLEMS | MONOTONE-OPERATORS | Fixed point theory | Usage | Banach spaces | Contraction operators

Journal Article

Mathematics (Basel), ISSN 2227-7390, 2019, Volume 7, Issue 1, p. 61

In this paper, a generalized variational inequality and fixed points problem is presented. An iterative algorithm is introduced for finding a solution of the...

Split problems | Fixed points | Pseudocontractive operators | Variational inequalities | MATHEMATICS | NONEXPANSIVE-MAPPINGS | fixed points | MONOTONE | pseudocontractive operators | variational inequalities | OPERATORS | split problems | STRONG-CONVERGENCE

Split problems | Fixed points | Pseudocontractive operators | Variational inequalities | MATHEMATICS | NONEXPANSIVE-MAPPINGS | fixed points | MONOTONE | pseudocontractive operators | variational inequalities | OPERATORS | split problems | STRONG-CONVERGENCE

Journal Article

7.
Full Text
Differential Stability of Convex Optimization Problems with Possibly Empty Solution Sets

Journal of Optimization Theory and Applications, ISSN 0022-3239, 4/2019, Volume 181, Issue 1, pp. 126 - 143

... Problems with Possibly Empty Solution Sets Duong Thi Viet An 1 · Jen-Chih Yao 2 Received: 5 October 2018 / Accepted: 31 October 2018 / Published online: 13 November...

Optimal value function | Mathematics | Theory of Computation | Parametric convex programming | Optimization | 90C31 | varepsilon $$ ε -Subdifferentials | varepsilon $$ ε -Normal directions | 49J53 | Calculus of Variations and Optimal Control; Optimization | 90C25 | Operations Research/Decision Theory | Conjugate function | 49Q12 | Applications of Mathematics | Engineering, general | ε-Normal directions | ε-Subdifferentials | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SUBGRADIENTS | epsilon-Subdifferentials | CALCULUS | epsilon-Normal directions | Computational geometry | Convexity | Sum rules | Dimensional stability | Convex analysis

Optimal value function | Mathematics | Theory of Computation | Parametric convex programming | Optimization | 90C31 | varepsilon $$ ε -Subdifferentials | varepsilon $$ ε -Normal directions | 49J53 | Calculus of Variations and Optimal Control; Optimization | 90C25 | Operations Research/Decision Theory | Conjugate function | 49Q12 | Applications of Mathematics | Engineering, general | ε-Normal directions | ε-Subdifferentials | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SUBGRADIENTS | epsilon-Subdifferentials | CALCULUS | epsilon-Normal directions | Computational geometry | Convexity | Sum rules | Dimensional stability | Convex analysis

Journal Article

Taiwanese journal of mathematics, ISSN 1027-5487, 2010, Volume 14, Issue 6, pp. 2497 - 2511

In this paper, we first consider a broad class of nonlinear mappings containing the classes of nonexpansive mappings, nonspreading mappings, and hybrid...

Ergodic theory | Mathematical theorems | Real numbers | Applied mathematics | Diagonal lemma | Hilbert spaces | Banach space | Perceptron convergence procedure | Mean convergence | Hilbert space | Nonspreading mapping | Hybrid mapping | Nonexpansive mapping | Fixed point | MATHEMATICS | NONLINEAR MAPPINGS | NONEXPANSIVE-MAPPINGS | OPERATORS

Ergodic theory | Mathematical theorems | Real numbers | Applied mathematics | Diagonal lemma | Hilbert spaces | Banach space | Perceptron convergence procedure | Mean convergence | Hilbert space | Nonspreading mapping | Hybrid mapping | Nonexpansive mapping | Fixed point | MATHEMATICS | NONLINEAR MAPPINGS | NONEXPANSIVE-MAPPINGS | OPERATORS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2019, Volume 2019, Issue 1, pp. 1 - 21

... ,G .P e t r o s y a n 2 and Jen-Chih Yao 3* * Correspondence: yaojc@math.nsysu.edu.tw 3 Research Center for Interneural Computing, China Medical University...

34G20 | Approximation | Mathematical and Computational Biology | 34A45 | Mathematics | Topology | 34A08 | Cauchy problem | Fractional differential equation | 47H10 | 47H11 | Measure of noncompactness | Analysis | Index of the solution set | Semidiscretization | Semilinear differential equation | Mathematics, general | Applications of Mathematics | 47H08 | Condensing map | Differential Geometry | Fixed point | Operators (mathematics) | Fixed points (mathematics) | Boundary value problems | Maps | Mathematical analysis | Existence theorems | Colon | Banach space

34G20 | Approximation | Mathematical and Computational Biology | 34A45 | Mathematics | Topology | 34A08 | Cauchy problem | Fractional differential equation | 47H10 | 47H11 | Measure of noncompactness | Analysis | Index of the solution set | Semidiscretization | Semilinear differential equation | Mathematics, general | Applications of Mathematics | 47H08 | Condensing map | Differential Geometry | Fixed point | Operators (mathematics) | Fixed points (mathematics) | Boundary value problems | Maps | Mathematical analysis | Existence theorems | Colon | Banach space

Journal Article

SIAM journal on optimization, ISSN 1095-7189, 2011, Volume 21, Issue 4, pp. 1523 - 1560

...SIAM J. OPTIM. c Vol. 21, No. 4, pp. 15231560 WEAK SHARP MINIMA ON RIEMANNIAN MANIFOLDS CHONG LI, BORIS S. MORDUKHOVICH, JINHUA WANG, AND JEN-CHIH YAO Abstract...

Variational analysis and optimization | Hadamard manifolds | Weak sharp minima | Generalized differentiability | Riemannian manifolds | Convexity | NONSMOOTH ANALYSIS | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | generalized differentiability | CONSTRAINT QUALIFICATIONS | MONOTONE VECTOR-FIELDS | variational analysis and optimization | weak sharp minima | PROXIMAL POINT ALGORITHM | convexity | GLOBAL ERROR-BOUNDS | NEWTONS METHOD | OPTIMALITY CONDITIONS | LINEAR REGULARITY | CONVEX MINIMIZATION

Variational analysis and optimization | Hadamard manifolds | Weak sharp minima | Generalized differentiability | Riemannian manifolds | Convexity | NONSMOOTH ANALYSIS | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | generalized differentiability | CONSTRAINT QUALIFICATIONS | MONOTONE VECTOR-FIELDS | variational analysis and optimization | weak sharp minima | PROXIMAL POINT ALGORITHM | convexity | GLOBAL ERROR-BOUNDS | NEWTONS METHOD | OPTIMALITY CONDITIONS | LINEAR REGULARITY | CONVEX MINIMIZATION

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

Taiwanese Journal of Mathematics, ISSN 1027-5487, 9/2008, Volume 12, Issue 6, pp. 1401 - 1432

In this paper, we introduce a new iterative scheme based on the hybrid method and the extragradient method for finding a common element of the set of solutions...

Mathematical theorems | Mathematical monotonicity | Approximation | Applied mathematics | Hilbert spaces | Nash equilibrium | Mathematical inequalities | Banach space | Perceptron convergence procedure | Variational inequalities | Strong convergence | Hybrid method | Monotone mapping | Variational inequality | Extragradient method | Generalized mixed equilibrium problem | Nonexpansive mapping | Fixed point | monotone mapping | APPROXIMATION METHODS | HILBERT-SPACES | NONEXPANSIVE-MAPPINGS | hybrid method | ITERATIVE METHOD | nonexpansive mapping | variational inequality | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ALGORITHMS | generalized mixed equilibrium problem | strong convergence | WEAK | MATHEMATICS | extragradient method | fixed point | BANACH-SPACES | CONSTRUCTION

Mathematical theorems | Mathematical monotonicity | Approximation | Applied mathematics | Hilbert spaces | Nash equilibrium | Mathematical inequalities | Banach space | Perceptron convergence procedure | Variational inequalities | Strong convergence | Hybrid method | Monotone mapping | Variational inequality | Extragradient method | Generalized mixed equilibrium problem | Nonexpansive mapping | Fixed point | monotone mapping | APPROXIMATION METHODS | HILBERT-SPACES | NONEXPANSIVE-MAPPINGS | hybrid method | ITERATIVE METHOD | nonexpansive mapping | variational inequality | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ALGORITHMS | generalized mixed equilibrium problem | strong convergence | WEAK | MATHEMATICS | extragradient method | fixed point | BANACH-SPACES | CONSTRUCTION

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

Journal of Optimization Theory and Applications, ISSN 0022-3239, 1/2019, Volume 180, Issue 1, pp. 91 - 116

.... Part 1: Lipschitzian Stability Duong Thi Kim Huyen 1 · Jen-Chih Yao 2 · Nguyen Dong Y en 3 Received: 7 March 2018 / Accepted: 23 April 2018 / Published online: 3...

Lipschitz-like property | Coderivative | Mathematics | Theory of Computation | Smooth functional constraint | Optimization | 90C31 | 90C20 | 49J53 | Calculus of Variations and Optimal Control; Optimization | 49K40 | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | Smooth parametric optimization problem | Stationary point set map | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | BEHAVIOR | METRIC REGULARITY | CODERIVATIVES | VARIATIONAL-INEQUALITIES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FINITE | NORMAL CONE MAPPINGS | SYSTEMS | OPENNESS | FULL STABILITY | Sensitivity analysis | Mathematics - Optimization and Control

Lipschitz-like property | Coderivative | Mathematics | Theory of Computation | Smooth functional constraint | Optimization | 90C31 | 90C20 | 49J53 | Calculus of Variations and Optimal Control; Optimization | 49K40 | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | Smooth parametric optimization problem | Stationary point set map | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | BEHAVIOR | METRIC REGULARITY | CODERIVATIVES | VARIATIONAL-INEQUALITIES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FINITE | NORMAL CONE MAPPINGS | SYSTEMS | OPENNESS | FULL STABILITY | Sensitivity analysis | Mathematics - Optimization and Control

Journal Article

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Sensitivity analysis of solution mappings of parametric vector quasi-equilibrium problems

Journal of Global Optimization, ISSN 0925-5001, 6/2008, Volume 41, Issue 2, pp. 187 - 202

... Kimura · Jen-Chih Yao Received: 16 December 2006 / Accepted: 28 June 2007 / Published online: 24 July 2007 © Springer Science+Business Media, LLC 2007 Abstract...

90C31 | Upper semicontinuity | Lower semicontinuity | 49K40 | Operations Research/Decision Theory | 49J40 | Solution mapping | Computer Science, general | Parametric vector quasi-equilibrium problem | Optimization | Economics / Management Science | Real Functions | MATHEMATICS, APPLIED | parametric vector quasi-equilibrium problem | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | upper semicontinuity | solution mapping | lower semicontinuity | Studies | Equilibrium | Analysis

90C31 | Upper semicontinuity | Lower semicontinuity | 49K40 | Operations Research/Decision Theory | 49J40 | Solution mapping | Computer Science, general | Parametric vector quasi-equilibrium problem | Optimization | Economics / Management Science | Real Functions | MATHEMATICS, APPLIED | parametric vector quasi-equilibrium problem | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | upper semicontinuity | solution mapping | lower semicontinuity | Studies | Equilibrium | Analysis

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 1/2019, Volume 180, Issue 1, pp. 117 - 139

.... Part 2: Robinson Stability Duong Thi Kim Huyen 1 · Jen-Chih Yao 2 · Nguyen Dong Y en 3 Received: 7 March 2018 / Accepted: 23 April 2018 / Published online: 3...

Robinson stability | Coderivative | Mathematics | Theory of Computation | Smooth functional constraint | Optimization | 90C31 | 90C20 | 49J53 | Calculus of Variations and Optimal Control; Optimization | 49K40 | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | Smooth parametric optimization problem | Stationary point set map | MATHEMATICS, APPLIED | METRIC REGULARITY | CODERIVATIVES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Quadratic programming | Stability | Sensitivity analysis | Mathematics - Optimization and Control

Robinson stability | Coderivative | Mathematics | Theory of Computation | Smooth functional constraint | Optimization | 90C31 | 90C20 | 49J53 | Calculus of Variations and Optimal Control; Optimization | 49K40 | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | Smooth parametric optimization problem | Stationary point set map | MATHEMATICS, APPLIED | METRIC REGULARITY | CODERIVATIVES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Quadratic programming | Stability | Sensitivity analysis | Mathematics - Optimization and Control

Journal Article

Taiwanese Journal of Mathematics, ISSN 1027-5487, 4/2011, Volume 15, Issue 2, pp. 457 - 472

In this paper, we first consider classes of nonlinear mappings containing the class of firmly nonexpansive mappings which can be deduced from an equilibrium...

Ergodic theory | Mathematical theorems | Approximation | Diagonal lemma | Hilbert spaces | Mathematics education | Banach space | Mean convergence | Hilbert space | Equilibrium problem | Nonspreading mapping | Nonexpansive mapping | Fixed point | MATHEMATICS | CONVERGENCE | OPERATORS

Ergodic theory | Mathematical theorems | Approximation | Diagonal lemma | Hilbert spaces | Mathematics education | Banach space | Mean convergence | Hilbert space | Equilibrium problem | Nonspreading mapping | Nonexpansive mapping | Fixed point | MATHEMATICS | CONVERGENCE | OPERATORS

Journal Article

Journal of optimization theory and applications, ISSN 1573-2878, 2018, Volume 181, Issue 2, pp. 411 - 436

... Nonsmooth Multiobjective Optimization Problems with Constraints Jiawei Chen 1 · Elisabeth Köbis 2 · Jen-Chih Yao 3 Received: 3 August 2017 / Accepted: 8 November 2018...

Robust optimality conditions | Robust duality | Mathematics | Theory of Computation | Robust nonsmooth multiobjective optimization | Optimization | Calculus of Variations and Optimal Control; Optimization | 90C25 | Operations Research/Decision Theory | Uncertain nonsmooth multiobjective optimization | 65K10 | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Multiple objective analysis | Economic models | Robustness | Convexity | Nonlinear programming | Mathematical programming

Robust optimality conditions | Robust duality | Mathematics | Theory of Computation | Robust nonsmooth multiobjective optimization | Optimization | Calculus of Variations and Optimal Control; Optimization | 90C25 | Operations Research/Decision Theory | Uncertain nonsmooth multiobjective optimization | 65K10 | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Multiple objective analysis | Economic models | Robustness | Convexity | Nonlinear programming | Mathematical programming

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 473, Issue 2, pp. 866 - 891

We study equilibrium problem on general Riemannian manifolds, focusing on existence of solutions and the convexity properties of the solution set. Our approach...

Variational inequality problem | Equilibrium problem | Riemannian manifold | Proximal point algorithm | VARIATIONAL-INEQUALITIES | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MONOTONE VECTOR-FIELDS | PRINCIPLE | NEWTON | Medical colleges | Algorithms | Numerical analysis | Game theory

Variational inequality problem | Equilibrium problem | Riemannian manifold | Proximal point algorithm | VARIATIONAL-INEQUALITIES | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MONOTONE VECTOR-FIELDS | PRINCIPLE | NEWTON | Medical colleges | Algorithms | Numerical analysis | Game theory

Journal Article