Approximation of common fixed points of a sequence of nearly nonexpansive mappings and solutions of variational inequality problems
type: Item
instance of: scholarly article
title: Approximation of common fixed points of a sequence of nearly nonexpansive mappings and solutions of variational inequality problems
zbMATH Open document ID: 1251.65084
DOI: 10.1155/2012/902437
author: Vidya Sagar
author: D. R. Sahu
author: Shin Min Kang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We introduce an explicit iterative scheme for computing a common fixed point of a sequence of nearly nonexpansive mappings defined on a closed convex subset of a real Hilbert space which is also a solution of a variational inequality problem. We prove a strong convergence theorem for a sequence generated by the considered iterative scheme under suitable conditions. Our strong convergence theorem extends and improves several corresponding results in the context of nearly nonexpansive mappings.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6106338
zbMATH Keywords: nearly nonexpansive mappings
zbMATH Keywords: explicit iterative scheme
zbMATH Keywords: common fixed point
Wikidata QID: Q58906912
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/902437
OpenAlex ID: W1977709580
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description: scientific article; zbMATH DE number 6106338