Unified common fixed point theorems for a hybrid pair of mappings via an implicit relation involving altering distance function
type: Item
instance of: scholarly article
title: Unified common fixed point theorems for a hybrid pair of mappings via an implicit relation involving altering distance function
zbMATH Open document ID: 1474.54139
DOI: 10.1155/2014/718040
author: Sunny Chauhan
author: M. Alamgir Khan
author: Zoran Kadelburg
author: Mohammad Imdad
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The object of this paper is to emphasize the role of a suitable implicit relation involving altering distance function which covers a multitude of contraction conditions in one go. By using this implicit relation, we prove a new coincidence and common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings in a metric space employing the common limit range property. Our main result improves and generalizes a host of previously known results. We also utilize suitable illustrative examples to substantiate the realized improvements in our results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 7022938
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/718040
OpenAlex ID: W2050006521
Wikidata QID: Q59040869
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description: scientific article; zbMATH DE number 7022938