A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces

Prasit Cholamjiak

doi:10.1155/2009/719360

A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces

Fixed Point Theory and Applications ◽

10.1155/2009/719360 ◽

2009 ◽

Vol 2009 (1) ◽

pp. 719360 ◽

Cited By ~ 11

Author(s):

Prasit Cholamjiak

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Variational Inequality Problems ◽

Fixed Point Problems

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A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2009.10.014 ◽

2010 ◽

Vol 72 (3-4) ◽

pp. 2136-2146 ◽

Cited By ~ 15

Author(s):

Habtu Zegeye

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Common Fixed Point ◽

Banach Spaces ◽

Equilibrium Problems ◽

Iteration Scheme ◽

Variational Inequality Problems ◽

Fixed Point Problems

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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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ITERATIVE SCHEME FOR A COMMON SOLUTIONS OF EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS

IAENG Transactions on Engineering Sciences ◽

10.1142/9789814667364_0008 ◽

2015 ◽

Author(s):

WICHAN KHONGTHAM

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Variational Inequality Problems ◽

Fixed Point Problems

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Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces

Applied Mathematics and Mechanics ◽

10.1007/s10483-011-1411-x ◽

2011 ◽

Vol 32 (2) ◽

pp. 251-264 ◽

Cited By ~ 5

Author(s):

Ya-qin Wang ◽

Liu-chuan Zeng

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Projection Method ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Hybrid Projection Method ◽

Mixed Equilibrium Problems ◽

Generalized Mixed Equilibrium

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Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces

Journal of Global Optimization ◽

10.1007/s10898-012-9883-6 ◽

2012 ◽

Vol 55 (2) ◽

pp. 437-457 ◽

Cited By ~ 9

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Infinite Family ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Extragradient Methods

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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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Convergence analysis for variational inequality problems and fixed point problems in 2-uniformly smooth and uniformly convex Banach spaces

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.08.031 ◽

2012 ◽

Vol 55 (3-4) ◽

pp. 538-546 ◽

Cited By ~ 19

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Convergence Analysis ◽

Banach Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Uniformly Convex ◽

Uniformly Smooth ◽

Uniformly Convex Banach Spaces

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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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Approximation theorems for solving common solution of a system of mixed equilibrium problems and variational inequality problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.06.049 ◽

2012 ◽

Vol 219 (3) ◽

pp. 837-855

Author(s):

Pongrus Phuangphoo ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Solution ◽

Approximation Theorems ◽

Mixed Equilibrium Problems ◽

Mixed Equilibrium

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A New Hybrid Iterative Algorithm for Fixed-Point Problems, Variational Inequality Problems, and Mixed Equilibrium Problems

Fixed Point Theory and Applications ◽

10.1155/2008/417089 ◽

2008 ◽

Vol 2008 ◽

pp. 1-16 ◽

Cited By ~ 20

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Algorithm ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Mixed Equilibrium Problems ◽

Mixed Equilibrium

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