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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Strong Convergence of the Modified Inertial Extragradient Method with Line-Search Process for Solving Variational Inequality Problems in Hilbert Spaces

Journal of Scientific Computing ◽

10.1007/s10915-021-01585-x ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Zhongbing Xie ◽

Gang Cai ◽

Xiaoxiao Li ◽

Qiao-Li Dong

Keyword(s):

Variational Inequality ◽

Strong Convergence ◽

Hilbert Spaces ◽

Line Search ◽

Extragradient Method ◽

Variational Inequality Problems ◽

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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 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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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 ◽

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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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 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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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 ◽

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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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 ◽

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 ◽

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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