Weak convergence theorem for finding fixed points and solution of split feasibility and systems of equilibrium problems
type: Item
instance of: scholarly article
title: Weak convergence theorem for finding fixed points and solution of split feasibility and systems of equilibrium problems
zbMATH Open document ID: 1263.65063
DOI: 10.1155/2013/430409
author: Kamonrat Sombut
author: Somyot Plubtieng
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of fixed points of quasi-nonexpansive mappings and the solution of split feasibility problems (SFP) and systems of equilibrium problems (SEP) in Hilbert spaces. We prove that the sequences generated by the proposed algorithm converge weakly to a common element of the fixed points set of quasi-nonexpansive mappings and the solution of split feasibility problems and systems of equilibrium problems under mild conditions. Our main result improves and extends the recent ones announced by \textit{L.-C. Ceng} et al. [Comput. Math. Appl. 64, No. 4, 633--642 (2012; Zbl 1252.65102)] and many others.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 6161335
zbMATH Keywords: split feasibility problems
zbMATH Keywords: quasi-nonexpansive mappings
zbMATH Keywords: fixed points
zbMATH Keywords: iterative algorithm
Wikidata QID: Q58916283
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/430409
OpenAlex ID: W2069253772
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description: scientific article; zbMATH DE number 6161335