General iterative method for solving  fixed point problems involving a finite family of demicontractive mappings in Banach spaces

In this paper, we prove the strong convergence of an iterative method for finding a common element of the set of solutions of mixed equilibrium problems and the set of fixed points of a finite family of nonexpansive mappings under some suitable conditions. Result presented in this paper improves and extends the recent known results in this area.

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A general iterative method for finding common solutions of system of equilibrium problems, system of variational inequalities and fixed point problems

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.10.069 ◽

2012 ◽

Vol 55 (3-4) ◽

pp. 1622-1638 ◽

Cited By ~ 10

Author(s):

Hossein Piri

Keyword(s):

Fixed Point ◽

Iterative Method ◽

Variational Inequalities ◽

Equilibrium Problems ◽

Fixed Point Problems ◽

System Of Variational Inequalities ◽

System Of Equilibrium Problems ◽

General Iterative Method

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Krasnoselski-Mann Iterations for Hierarchical Fixed Point Problems for a Finite Family of Nonself Mappings in Banach Spaces

Journal of Optimization Theory and Applications ◽

10.1007/s10957-010-9679-0 ◽

2010 ◽

Vol 146 (3) ◽

pp. 617-639 ◽

Cited By ~ 10

Author(s):

L. C. Ceng ◽

A. Petruşel

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Finite Family ◽

Fixed Point Problems ◽

Hierarchical Fixed Point ◽

Hierarchical Fixed Point Problems

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Strong convergence of a general iterative method for variational inequality problems and fixed point problems in Hilbert spaces

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.11.004 ◽

2008 ◽

Vol 200 (1) ◽

pp. 242-253 ◽

Cited By ~ 15

Author(s):

Xiaolong Qin ◽

Meijuan Shang ◽

Haiyun Zhou

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Method ◽

Strong Convergence ◽

Hilbert Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

General Iterative Method

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A general iterative method for solving equilibrium problems, variational inequality problems and fixed point problems of an infinite family of nonexpansive mappings

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-009-0330-x ◽

2009 ◽

Vol 34 (1-2) ◽

pp. 407-439 ◽

Cited By ~ 14

Author(s):

Chaichana Jaiboon ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Method ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Infinite Family ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

General Iterative Method

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Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications ◽

10.1155/2008/583082 ◽

2008 ◽

Vol 2008 (1) ◽

pp. 583082 ◽

Cited By ~ 21

Author(s):

Somyot Plubtieng ◽

Kasamsuk Ungchittrakool

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Iterative Methods ◽

Nonexpansive Mappings ◽

Fixed Point Problems ◽

Convex Feasibility Problems ◽

Relatively Nonexpansive Mappings ◽

Convex Feasibility ◽

Relatively Nonexpansive ◽

Hybrid Iterative Methods

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