Strong convergence theorems for inertial Tseng’s extragradient method for solving variational inequality problems and fixed point problems

Optimization Letters ◽

10.1007/s11590-020-01654-4 ◽

2020 ◽

Author(s):

Gang Cai ◽

Qiao-Li Dong ◽

Yu Peng

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems ◽

Tseng’S Extragradient Method

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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 AND STRONG CONVERGENCE THEOREMS FOR VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS WITH TSENG’S EXTRAGRADIENT METHOD

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500406682 ◽

2012 ◽

Vol 16 (3) ◽

pp. 1125-1136 ◽

Author(s):

Fenghui Wang ◽

Hong-Kun Xu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Extragradient Method ◽

Fixed Point Problems ◽

Weak And Strong Convergence ◽

Convergence Theorems ◽

Tseng’S Extragradient Method

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STRONG CONVERGENCE THEOREM BY AN EXTRAGRADIENT METHOD FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500557303 ◽

2006 ◽

Vol 10 (5) ◽

pp. 1293-1303 ◽

Author(s):

Lu-Chuan Zeng ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Convergence Theorem ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Strong Convergence Theorem

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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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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 ◽

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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Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.03.036 ◽

2010 ◽

Vol 59 (11) ◽

pp. 3472-3480 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Shin Min Kang

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Elements

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Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2012-119 ◽

2012 ◽

Vol 2012 (1) ◽

pp. 119 ◽

Author(s):

Habtu Zegeye ◽

Naseer Shahzad ◽

Mohammad Alghamdi

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Common Point ◽

Fixed Point Problems ◽

Convergence Theorems

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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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