Modified block iterative algorithm for Quasi- ϕ-asymptotically nonexpansive mappings and equilibrium problem in banach spaces

The purpose of this paper is to propose a modified block iterative algorithm for find a common element of the set of common fixed points of an infinite family of quasi- ϕ-asymptotically nonexpansive mappings and the set of an equilibrium problem. Under suitable conditions, some strong convergence th...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 217; no. 18; pp. 7520 - 7530
Main Authors:	Chang, Shih-sen, Chan, Chi Kin, Joseph Lee, H.W.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.05.2011 Elsevier
Subjects:	Equilibrium problem Exact sciences and technology Functional analysis Generalized projection Global analysis, analysis on manifolds Mathematical analysis Mathematics Modified block iterative algorithm Numerical analysis Numerical analysis. Scientific computation Quasi- ϕ-asymptotically nonexpansive mapping Quasi- ϕ-nonexpansive mapping Relatively nonexpansive mapping Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Modified block iterative algorithm Equilibrium problem Relatively nonexpansive mapping Generalized projection Quasi- ϕ-nonexpansive mapping Quasi- ϕ-asymptotically nonexpansive mapping Quasi-φ-nonexpansive mapping Strong convergence Iterative method Banach space Algorithm Weak convergence Quasi-φ-asymptotically nonexpansive mapping Numerical analysis Fix point Applied mathematics Fixed point space
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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