Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces

Mathematische Nachrichten ◽

10.1002/mana.200610817 ◽

2009 ◽

Vol 282 (12) ◽

pp. 1827-1835 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Rudong Chen

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Hilbert Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems

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Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.01.004 ◽

2013 ◽

Vol 247 ◽

pp. 34-52 ◽

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Weak Convergence ◽

Hilbert Spaces ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems ◽

Strong And Weak Convergence ◽

Mixed Equilibrium Problems

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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 ◽

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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The modified viscosity implicit rules for variational inequality problems and fixed point problems of nonexpansive mappings in Hilbert spaces

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-019-00716-2 ◽

2019 ◽

Vol 113 (4) ◽

pp. 3545-3562 ◽

Author(s):

Gang Cai ◽

Yekini Shehu ◽

Olaniyi Samuel Iyiola

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Hilbert Spaces ◽

Nonexpansive Mappings ◽

Variational Inequality Problems ◽

Fixed Point Problems

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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 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 ◽

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 ◽

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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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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Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in hilbert spaces

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2011-21 ◽

2011 ◽

Vol 2011 (1) ◽

Author(s):

Ming Tian ◽

Lanyun Di

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Hilbert Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Synchronal Algorithm ◽

Cyclic Algorithm

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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 ◽

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 of a general iterative method for variational inequality problems and fixed point problems in Hilbert spaces

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.11.004 ◽

2008 ◽

Vol 200 (1) ◽

pp. 242-253 ◽

Author(s):

Xiaolong Qin ◽

Meijuan Shang ◽

Haiyun Zhou

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Method ◽

Strong Convergence ◽

Hilbert Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

General Iterative Method

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