Unified metrical common fixed point theorems in 2-metric spaces via an implicit relation
type: Item
instance of: scholarly article
title: Unified metrical common fixed point theorems in 2-metric spaces via an implicit relation
zbMATH Open document ID: 1300.54062
DOI: 10.1155/2013/186910
author: Sunny Chauhan
author: Calogero Vetro
author: Mohammad Imdad
published in: Journal of Operators
publication date: 2014-11-19T00:00:00Z
review text: Summary: We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 6371122
zbMATH Keywords: common fixed-point theorem
zbMATH Keywords: pairs of weakly compatible mappings
zbMATH Keywords: 2-metric space
zbMATH Keywords: Bryant-type generalized fixed-point theorem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/186910
OpenAlex ID: W2024040824
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