WEAK CONVERGENCE OF A HYBRID ITERATIVE SCHEME WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND COMMON FIXED POINT PROBLEMS

Seung-Hyun Kim; Byung-Soo Lee

doi:10.7468/jksmeb.2014.21.3.195

WEAK CONVERGENCE OF A HYBRID ITERATIVE SCHEME WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND COMMON FIXED POINT PROBLEMS

The Pure and Applied Mathematics ◽

10.7468/jksmeb.2014.21.3.195 ◽

2014 ◽

Vol 21 (3) ◽

pp. 195-206

Author(s):

Seung-Hyun Kim ◽

Byung-Soo Lee

Keyword(s):

Fixed Point ◽

Weak Convergence ◽

Common Fixed Point ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Fixed Point Problems

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Strong convergence of the iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems of an infinite family of nonexpansive mappings

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2009.06.009 ◽

2009 ◽

Vol 3 (4) ◽

pp. 719-733 ◽

Cited By ~ 12

Author(s):

Rabian Wangkeeree ◽

Rattanaporn Wangkeeree

Keyword(s):

Fixed Point ◽

Strong Convergence ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Nonexpansive Mappings ◽

Extragradient Method ◽

Infinite Family ◽

Fixed Point Problems ◽

Mixed Equilibrium Problems ◽

Mixed Equilibrium

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An Iterative Scheme for Generalized Equilibrium Problems and Fixed Point Problems of Strict Pseudo-Contraction Mappings

Journal of Advanced Research in Pure Mathematics ◽

10.5373/jarpm.947.051411 ◽

2012 ◽

Vol 4 (3) ◽

pp. 47-60

Author(s):

Pathak

Keyword(s):

Fixed Point ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Fixed Point Problems ◽

Contraction Mappings ◽

Generalized Equilibrium

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Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2014-59 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Muhammad Aqeel Ahmad Khan ◽

Hafiz Fukhar-ud-din ◽

Abdul Rahim Khan

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Banach Spaces ◽

Equilibrium Problems ◽

Fixed Point Problems ◽

Mosco Convergence ◽

Convergence Results ◽

Generalized Equilibrium

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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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Parallel Hybrid Iterative Methods for Variational Inequalities, Equilibrium Problems, and Common Fixed Point Problems

Vietnam Journal of Mathematics ◽

10.1007/s10013-015-0129-z ◽

2015 ◽

Vol 44 (2) ◽

pp. 351-374 ◽

Cited By ~ 29

Author(s):

Pham Ky Anh ◽

Dang Van Hieu

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Common Fixed Point ◽

Iterative Methods ◽

Equilibrium Problems ◽

Fixed Point Problems ◽

Parallel Hybrid ◽

Hybrid Iterative Methods

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An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.03.032 ◽

2009 ◽

Vol 223 (2) ◽

pp. 967-974 ◽

Cited By ~ 93

Author(s):

L.-C. Ceng ◽

S. Al-Homidan ◽

Q.H. Ansari ◽

J.-C. Yao

Keyword(s):

Fixed Point ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Fixed Point Problems ◽

Contraction Mappings

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A hybrid iterative scheme for mixed equilibrium problems and fixed point problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.02.022 ◽

2008 ◽

Vol 214 (1) ◽

pp. 186-201 ◽

Cited By ~ 233

Author(s):

Lu-Chuan Ceng ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Fixed Point Problems ◽

Mixed Equilibrium Problems ◽

Mixed Equilibrium

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Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces

Fixed Point Theory and Applications ◽

10.1186/s13663-018-0630-7 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 4

Author(s):

Anteneh Getachew Gebrie ◽

Rabian Wangkeeree

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Hilbert Spaces ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Fixed Point Problems ◽

Proximal Algorithms ◽

Split Common Fixed Point

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Common Solutions of an Iterative Scheme for Variational Inclusions, Equilibrium Problems, and Fixed Point Problems

Journal of Inequalities and Applications ◽

10.1155/2008/720371 ◽

2008 ◽

Vol 2008 ◽

pp. 1-15 ◽

Cited By ~ 11

Author(s):

Jian-Wen Peng ◽

Yan Wang ◽

David S. Shyu ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Fixed Point Problems ◽

Variational Inclusions

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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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