Iterative schemes for fixed points of relatively nonexpansive mappings and their applications
type: Item
instance of: scholarly article
title: Iterative schemes for fixed points of relatively nonexpansive mappings and their applications
zbMATH Open document ID: 1207.65074
DOI: 10.1155/2010/301305
author: Somyot Plubtieng
author: Wanna Sriprad
published in: Abstract and Applied Analysis
publication date: 2011-02-09T00:00:00Z
full work available at URL: https://eudml.org/doc/230763
review text: Summary: We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the sense of Lyapunov functional in a real uniformly smooth and uniformly convex Banach space. Using the result we consider strong convergence theorems for variational inequalities and equilibrium problems in a real Hilbert space and strong convergence theorems for maximal monotone operators in a real uniformly smooth and uniformly convex Banach space.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 5848804
zbMATH Keywords: iterative schemes
zbMATH Keywords: fixed points
zbMATH Keywords: nonexpansive mappings
zbMATH Keywords: Banach space
zbMATH Keywords: convergence
zbMATH Keywords: variational inequalities
zbMATH Keywords: Hilbert space
zbMATH Keywords: maximal monotone operators
Wikidata QID: Q58649818
MaRDI profile type: Publication
OpenAlex ID: W2085033700
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description: scientific article; zbMATH DE number 5848804