Common fixed points of generalized Meir-Keeler type condition and nonexpansive mappings
type: Item
instance of: scholarly article
title: Common fixed points of generalized Meir-Keeler type condition and nonexpansive mappings
zbMATH Open document ID: 1248.47053
DOI: 10.1155/2012/786814
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-10-16T00:00:00Z
review text: Summary: We obtain common fixed point theorems by employing the recently introduced notion of weak reciprocal continuity. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. We demonstrate that weak reciprocal continuity ensures the existence of common fixed points under contractive conditions, which otherwise do not ensure the existence of fixed points. Our results generalize and extend Banach contraction principle and Meir-Keeler-type fixed point theorem.
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6093864
zbMATH Keywords: common fixed point theorems
zbMATH Keywords: generalized Meir-Keeler type condition
zbMATH Keywords: nonexpansive mappings
Wikidata QID: Q58705088
author: Ravindra K. Bisht
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/786814
OpenAlex ID: W1991246817
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DBLP publication ID: journals/ijmmsc/Bisht12
description: scientific article; zbMATH DE number 6093864