Convergence of Picard's iteration using projection algorithm for noncyclic contractions
type: Item
instance of: scholarly article
title: Convergence of Picard's iteration using projection algorithm for noncyclic contractions
zbMATH Open document ID: 1470.47064
author: M. Gabeleh
published in: Indagationes Mathematicae. New Series
publication date: 2018-12-11T00:00:00Z
review text: This paper deals with some of the conditions for the convergence of Picard's iteration for non-cyclic contractions using a projection algorithm in uniformly convex Banach spaces. The author also discusses the existence of common best proximity pairs for a couple of non-cyclical mappings. Some examples are given to illustrate the main conclusions.
reviewed by: Zoran D. Mitrović
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6991917
zbMATH Keywords: best proximity pair
zbMATH Keywords: uniformly convex Banach space
zbMATH Keywords: Picard iteration sequence
zbMATH Keywords: noncyclic contraction
MaRDI profile type: Publication
full work available at URL: j.indag.2018.11.001
OpenAlex ID: W2900581008
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cites work: Q5638789
Wikidata QID: Q128960597
DOI: 10.1016/J.INDAG.2018.11.001
description: scientific article; zbMATH DE number 6991917