Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings
type: Item
instance of: scholarly article
title: Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings
zbMATH Open document ID: 1206.47084
DOI: 10.1155/2010/357120
author: Siwaporn Saewan
author: Poom Kumam
published in: Abstract and Applied Analysis
publication date: 2010-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/223391
review text: Summary: We introduce a modified block hybrid projection algorithm for solving convex feasibility problems for an infinite family of closed and uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings and the set of solutions of the generalized equilibrium problems. We obtain a strong convergence theorem for the sequences generated by this process in a uniformly smooth and strictly convex Banach space with the Kadec-Klee property. The results presented in this paper improve and extend some recent results.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 5791617
zbMATH Keywords: modified block hybrid projection algorithm
zbMATH Keywords: convex feasibility problems
zbMATH Keywords: closed quasi-\(\varphi \)-asymptotically nonexpansive mappings
zbMATH Keywords: strong convergence
zbMATH Keywords: uniformly smooth Banach space
Wikidata QID: Q58649828
MaRDI profile type: Publication
OpenAlex ID: W2013471434
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description: scientific article; zbMATH DE number 5791617