An alternative regularization method for equilibrium problems and fixed point of nonexpansive mappings
type: Item
instance of: scholarly article
title: An alternative regularization method for equilibrium problems and fixed point of nonexpansive mappings
zbMATH Open document ID: 1318.47094
DOI: 10.1155/2012/202860
author: Shuo Sun
published in: Journal of Applied Mathematics
publication date: 2012-08-06T00:00:00Z
review text: Summary: We introduce a new regularization iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping. Then, we prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality and the unique sunny nonexpansive retraction. Our results extend beyond the results of \textit{S. Takahashi} and \textit{W. Takahashi} [J. Math. Anal. Appl. 331, No. 1, 506--515 (2007; Zbl 1122.47056)] and many others.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47J06
zbMATH DE Number: 6063330
zbMATH Keywords: strong convergence
zbMATH Keywords: nonexpansive mappings
zbMATH Keywords: variational inequality
MaRDI profile type: Publication
Wikidata QID: Q58906366
full work available at URL: https://doi.org/10.1155/2012/202860
OpenAlex ID: W1550752461
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description: scientific article; zbMATH DE number 6063330