Weak and strong convergence theorems for strictly pseudononspreading mappings and equilibrium problem in Hilbert spaces
type: Item
instance of: scholarly article
title: Weak and strong convergence theorems for strictly pseudononspreading mappings and equilibrium problem in Hilbert spaces
zbMATH Open document ID: 1364.47045
DOI: 10.1155/2013/169206
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: The purpose of this paper is to propose an iterative algorithm for equilibrium problem and a class of strictly pseudononspreading mappings which is more general than the class of nonspreading mappings studied recently in [\textit{Y. Kurokawa} and \textit{W. Takahashi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1562--1568 (2010; Zbl 1229.47117)]. We explored an auxiliary mapping in our theorems and proofs and under suitable conditions, some weak and strong convergence theorems are proved. The results presented in the paper extend and improve some recent results announced by some authors.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6306088
zbMATH Keywords: strong convergence
zbMATH Keywords: strictly pseudononspreading mappings
zbMATH Keywords: nonspreading mappings
zbMATH Keywords: weak convergence
Wikidata QID: Q58915419
author: Yunhe Zhao
author: Shihsen Chang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/169206
OpenAlex ID: W1980782359
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description: scientific article; zbMATH DE number 6306088