Viscosity approximation to a common solution of variational inequality problems and fixed point problems for Lipschitzian semigroup in Banach spaces

Mathematical Sciences ◽

10.1186/2251-7456-7-28 ◽

2013 ◽

Vol 7 (1) ◽

pp. 28 ◽

Author(s):

Poom Kumam ◽

Somyot Plubtieng ◽

Phayap Katchang

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Viscosity Approximation ◽

Common Solution ◽

Lipschitzian Semigroup

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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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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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A common solution of f-fixed point and variational inequality problems in Banach spaces

Optimization ◽

10.1080/02331934.2021.1982939 ◽

2021 ◽

pp. 1-26

Author(s):

Habtu Zegeye ◽

Oganeditse A. Boikanyo

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Variational Inequality Problems ◽

Common Solution

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Viscosity approximation schemes for fixed point problems and equilibrium problems and variational inequality problems

Nonlinear Analysis ◽

10.1016/j.na.2009.09.021 ◽

2010 ◽

Vol 72 (3-4) ◽

pp. 1792-1808 ◽

Author(s):

Chang song Hu ◽

Gang Cai

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Approximation Schemes ◽

Viscosity Approximation

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Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1942-1 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Panisa Lohawech ◽

Anchalee Kaewcharoen ◽

Ali Farajzadeh

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Solution ◽

Split Variational Inequality ◽

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Relaxed viscosity approximation methods for fixed point problems and variational inequality problems

Nonlinear Analysis ◽

10.1016/j.na.2007.09.019 ◽

2008 ◽

Vol 69 (10) ◽

pp. 3299-3309 ◽

Author(s):

Lu-Chuan Ceng ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Approximation Methods ◽

Viscosity Approximation ◽

Viscosity Approximation Methods

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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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