STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS, FIXED POINT PROBLEMS OF QUASI-NONEXPANSIVE MAPPINGS AND VARIATIONAL INEQUALITY PROBLEMS

Journal of applied mathematics & informatics ◽

10.14317/jami.2013.813 ◽

2013 ◽

Vol 31 (5_6) ◽

pp. 813-823

Author(s):

Meng Li ◽

Qiumei Sun ◽

Haiyun Zhou

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems

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Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0720-6 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Zhangsong Yao ◽

Yeong-Cheng Liou ◽

Li-Jun Zhu ◽

Ching-Hua Lo ◽

Chen-Chang Wu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems

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Strong convergence theorems for fixed point problems, variational inequality problems and system of generalized mixed equilibrium problems

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.04.023 ◽

2011 ◽

Vol 54 (5-6) ◽

pp. 1510-1522 ◽

Cited By ~ 1

Author(s):

Yekini Shehu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems ◽

Generalized Mixed Equilibrium Problems ◽

Mixed Equilibrium Problems ◽

Generalized Mixed Equilibrium

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Strong convergence theorems for fixed point problems of infinite family of asymptotically quasi-ϕ-nonexpansive mappings and a system of equilibrium problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2013-221 ◽

2013 ◽

Vol 2013 (1) ◽

pp. 221 ◽

Cited By ~ 1

Author(s):

Xin Wang ◽

Changsong Hu ◽

Jinlin Guan

Keyword(s):

Fixed Point ◽

Strong Convergence ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Infinite Family ◽

Fixed Point Problems ◽

Convergence Theorems ◽

System Of Equilibrium Problems

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Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2013-257 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Ci-Shui Ge ◽

Neng-Fu Yu ◽

Lin Zhao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Equilibrium Problems ◽

Iterative Algorithms ◽

Variable Coefficients ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Generalized Equilibrium

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Strong convergence theorems for variational inequality problems and fixed point problems in uniformly smooth and uniformly convex Banach spaces

Journal of Global Optimization ◽

10.1007/s10898-012-9923-2 ◽

2012 ◽

Vol 56 (4) ◽

pp. 1529-1542 ◽

Cited By ~ 1

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Banach Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Uniformly Convex ◽

Convergence Theorems ◽

Uniformly Smooth ◽

Uniformly Convex Banach Spaces

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Corrigendum to: “Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings” [Nonlinear Anal. Hybrid Syst. 3 (2009) 11–20]

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2009.01.005 ◽

2009 ◽

Vol 3 (2) ◽

pp. 176 ◽

Cited By ~ 1

Author(s):

Kriengsak Wattanawitoon ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Strong Convergence ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Fixed Point Problems ◽

Projection Algorithm ◽

Convergence Theorems ◽

Nonlinear Anal ◽

Hybrid Projection Algorithm

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Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2008.10.002 ◽

2009 ◽

Vol 3 (1) ◽

pp. 11-20 ◽

Cited By ~ 44

Author(s):

Kriengsak Wattanawitoon ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Strong Convergence ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Fixed Point Problems ◽

Projection Algorithm ◽

Convergence Theorems ◽

Hybrid Projection Algorithm

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Strong convergence theorems based on a new modified extragradient method for variational inequality problems and fixed point problems in Banach spaces

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.07.056 ◽

2011 ◽

Vol 62 (6) ◽

pp. 2567-2579 ◽

Cited By ~ 4

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Banach Spaces ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems

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Weak convergence theorems for general equilibrium problems and variational inequality problems and fixed point problems in banach spaces

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60212-4 ◽

2013 ◽

Vol 33 (1) ◽

pp. 303-320 ◽

Cited By ~ 6

Author(s):

Gang CAI ◽

Shangquan BU

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Weak Convergence ◽

General Equilibrium ◽

Banach Spaces ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems

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Damped Algorithms for the Split Fixed Point and Equilibrium Problems

Journal of Function Spaces and Applications ◽

10.1155/2013/735941 ◽

2013 ◽

Vol 2013 ◽

pp. 1-6

Author(s):

Li-Jun Zhu ◽

Minglun Ren

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Convergence Analysis ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Special Cases

The main purpose of this paper is to study the split fixed point and equilibrium problems which includes fixed point problems, equilibrium problems, and variational inequality problems as special cases. A damped algorithm is presented for solving this split common problem. Strong convergence analysis is shown.

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