Iterative method for equilibrium, variational inequality and fixed point problems in Banach spaces

International Journal of Mathematical Analysis ◽

10.12988/ijma.2013.35101 ◽

2013 ◽

Vol 7 ◽

pp. 2181-2188

Author(s):

Prasit Cholamjiak

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Method ◽

Banach Spaces ◽

Fixed Point Problems

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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 METHODS FOR A COMMON MINIMUM-NORM POINT OF A SOLUTION OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2014.51.3.773 ◽

2014 ◽

Vol 51 (3) ◽

pp. 773-788 ◽

Author(s):

N. Shahzad ◽

H. Zegeye

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Fixed Point Problems ◽

Approximation Methods ◽

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CONVERGENCE ANALYSIS ON HYBRID PROJECTION ALGORITHMS FOR EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS

Mathematical Modelling and Analysis ◽

10.3846/1392-6292.2009.14.335-351 ◽

2009 ◽

Vol 14 (3) ◽

pp. 335-351 ◽

Author(s):

Xiaolong Qin ◽

Yeol Je Cho ◽

Shin Min Kang

Keyword(s):

Banach Space ◽

Fixed Point ◽

Variational Inequality ◽

Iterative Method ◽

Convergence Analysis ◽

Equilibrium Problems ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Projection Algorithms

In this paper, we consider an iterative method for equilibrium problems, fixed point problems and variational inequality problems in the framework of Banach space. The results presented in this paper improve and extend the corresponding results announced by many others.

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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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Convergence theorems of common solutions of variational inequality and f-fixed point problems in Banach spaces

Applied Set-Valued Analysis and Optimization ◽

10.23952/asvao.3.2021.1.06 ◽

2021 ◽

Vol 3 (1) ◽

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

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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A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2009.10.014 ◽

2010 ◽

Vol 72 (3-4) ◽

pp. 2136-2146 ◽

Author(s):

Habtu Zegeye

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Common Fixed Point ◽

Banach Spaces ◽

Equilibrium Problems ◽

Iteration Scheme ◽

Variational Inequality Problems ◽

Fixed Point Problems

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