Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings

In this paper, we introduce an iterative process which converges strongly to a common element of set of common fixed points of countably infinite family of closed relatively quasi- nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational ineq...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 216; no. 12; pp. 3439 - 3449
Main Authors:	Zegeye, Habtu, Ofoedu, Eric U., Shahzad, Naseer
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.08.2010 Elsevier
Subjects:	[formula omitted]-inverse strongly monotone mappings Banach space Calculus of variations and optimal control Computation Convergence Equilibrium problem Exact sciences and technology Functional analysis Global analysis, analysis on manifolds Inequalities Iterative methods Mapping Mathematical analysis Mathematical models Mathematics Monotone mappings Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Sciences and techniques of general use Strong convergence Strongly monotone mappings Theorems Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Variational inequality problems γ -inverse strongly monotone mappings Strongly monotone mappings Monotone mappings Strong convergence Variational inequality problems Equilibrium problem Iterative process γ-inverse strongly monotone mappings Banach space Inverse problem Variational problem Numerical analysis Fix point Variational inequality Applied mathematics
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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