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 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 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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New relaxed hybrid-extragradient method for fixed point problems, a general system of variational inequality problems and generalized mixed equilibrium problems

Optimization ◽

10.1080/02331930903196941 ◽

2011 ◽

Vol 60 (3) ◽

pp. 395-412 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Equilibrium Problems ◽

Extragradient Method ◽

General System ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Mixed Equilibrium Problems ◽

Generalized Mixed Equilibrium ◽

Hybrid Extragradient Method

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A NEW HYBRID-EXTRAGRADIENT METHOD FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS, FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500405033 ◽

2008 ◽

Vol 12 (6) ◽

pp. 1401-1432 ◽

Author(s):

Jian-Wen Peng ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Equilibrium Problems ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Generalized Mixed Equilibrium Problems ◽

Mixed Equilibrium Problems ◽

Generalized Mixed Equilibrium ◽

Hybrid Extragradient Method

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A new approximation method for finding common elements of equilibrium problems, variational inequality problems and fixed point problems of nonspreading mappings

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

10.1007/s13398-016-0352-9 ◽

2016 ◽

Vol 111 (4) ◽

pp. 1105-1115 ◽

Author(s):

Kanyarat Cheawchan ◽

Withun Phuengrattana ◽

Atid Kangtunyakarn

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Approximation Method ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Elements ◽

Nonspreading Mappings

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Weak convergence theorem by a new extragradient method for fixed point problems and variational inequality problems

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics ◽

10.1501/commua1_0000000704 ◽

2014 ◽

Vol 63 (1) ◽

pp. 43-53

Author(s):

KARAHAN İbrahim; ÖZDEMİR

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Weak Convergence ◽

Convergence Theorem ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Weak Convergence Theorem

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Self-adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi-nonexpansive fixed point problems

Journal of Inequalities and Applications ◽

10.1186/s13660-019-1958-1 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Ming Tian ◽

Mengying Tong

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Subgradient Extragradient Method ◽

Monotone Variational Inequality ◽

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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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An Extragradient Method for Fixed Point Problems and Variational Inequality Problems

Journal of Inequalities and Applications ◽

10.1155/2007/38752 ◽

2007 ◽

Vol 2007 ◽

pp. 1-13 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems

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Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems

Numerical Algorithms ◽

10.1007/s11075-018-0527-x ◽

2018 ◽

Vol 80 (4) ◽

pp. 1283-1307 ◽

Author(s):

Duong Viet Thong ◽

Dang Van Hieu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Line Search ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

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