Fixed point of generalized weak contraction in \(b\)-metric spaces
type: Item
instance of: scholarly article
title: Fixed point of generalized weak contraction in \(b\)-metric spaces
zbMATH Open document ID: 1472.54025
DOI: 10.1155/2021/2042162
author: M. Iqbal
author: Afshan Batool
author: Ozgur Ege
author: M. De la Sen
published in: Journal of Function Spaces
publication date: 2021-08-31T00:00:00Z
review text: Summary: In this manuscript, a class of generalized \((\psi,\alpha,\beta)\)-weak contraction is introduced and some fixed point theorems in the framework of \(b\)-metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. Further, some examples and an application are provided to illustrate our main result.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7388491
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/2042162
OpenAlex ID: W3170263641
cites work: Q4884981
cites work: Q4104968
cites work: Q3983330
cites work: KKM mappings in metric type spaces
cites work: Q5738074
cites work: Some fixed point results on complex valued \(G_{b}\)-metric spaces
cites work: A fixed point theorem for set-valued quasi-contractions in \(b\)-metric spaces
cites work: Computational fixed points in graphical rectangular metric spaces with application
cites work: Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations
cites work: Complex valued rectangular b-metric spaces and an application to linear equations
cites work: Complex valued \(G_b\)-metric spaces
cites work: Q4644029
cites work: A different approach to complex valued \(G_b\)-metric spaces
cites work: The Meir-Keeler type contractions in extended modular \(b\)-metric spaces with an application
cites work: Fixed points of \(\alpha\)-type \(F\)-contractive mappings with an application to nonlinear fractional differential equation
cites work: Fixed points of cyclic weakly (\(\psi, \phi ,L, A, B\))-contractive mappings in ordered \(b\)-metric spaces with applications
cites work: Fixed point of almost contraction in \(b\)-metric spaces
cites work: New fixed point results for mappings of contractive type with an application to nonlinear fractional differential equations
cites work: A fixed point theorem for a general epidemic model
cites work: Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
cites work: Basic inequality on a \(b\)-metric space and its applications
cites work: A generalization of \(b\)-metric space and some fixed point theorems
cites work: Q4358791
cites work: A generalisation of contraction principle in metric spaces
cites work: Some theorems on weakly contractive maps.
cites work: Fixed point theory for generalized \(\varphi\)-weak contractions
cites work: Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions
cites work: Multivalued and singlevalued fixed point results in partially ordered metric spaces
cites work: Compatible mapping and common fixed points
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description: scientific article; zbMATH DE number 7388491