On some common fixed point results for weakly contraction mappings with application
type: Item
instance of: scholarly article
title: On some common fixed point results for weakly contraction mappings with application
DOI: 10.1155/2021/5573983
author: Yan Hao
author: Hongyan Guan
published in: Journal of Function Spaces
publication date: 2021-05-17T00:00:00Z
review text: Summary: In this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of \(b\)-metric spaces, which generalize the results of Cho. We also provide two examples to show the applicability and validity of our results. As an application of our result, we obtain a solution to an integral equation. Our results extend and improve several comparable results in the existing literature.
Mathematics Subject Classification ID: 47-XX
zbMATH DE Number: 7348531
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5573983
OpenAlex ID: W3141796649
cites work: Q4884981
cites work: A common fixed point for weak \(\varphi \)-contractions on \(b\)-metric spaces
cites work: Q4366427
cites work: Q3582116
cites work: Q4627888
cites work: Common fixed point theorem via cyclic \((\alpha,\beta)-(\psi,\varphi)_S\)-contraction with applications
cites work: Q4606895
cites work: Contraction conditions using comparison functions on \(b\)-metric spaces
cites work: Q2938909
cites work: Fixed point of almost contraction in \(b\)-metric spaces
cites work: KKM mappings in cone \(b\)-metric spaces
cites work: Convergence theorems for generalized contractions and applications
cites work: Q3099194
cites work: Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
cites work: Common fixed point results for generalized \(\alpha_{s^p}\) contractive mappings and applications
cites work: Some generalizations for \((\alpha - \psi,\phi)\)-contractions in \(b\)-metric-like spaces and an application
cites work: Q4994256
cites work: Complex valued rectangular b-metric spaces and an application to linear equations
cites work: The new results in extended $b$-metric spaces and applications
cites work: New fixed point theorems for set-valued contractions in \(b\)-metric spaces
cites work: Basic inequality on a \(b\)-metric space and its applications
cites work: Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam
cites work: Results on contractions of Reich type in graphical b-metric spaces with applications
cites work: The Meir-Keeler type contractions in extended modular \(b\)-metric spaces with an application
cites work: Q4358791
cites work: Some theorems on weakly contractive maps.
cites work: Fixed points for generalized weakly contractive mappings in partial metric spaces
cites work: Q5414377
cites work: Coupled fixed point results for \((\psi,\phi)\)-weakly contractive condition in ordered partial metric spaces
cites work: On the fixed point theorems in generalized weakly contractive mappings on partial metric spaces
cites work: Fixed point theorems for generalized weakly contractive mappings
cites work: Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions
cites work: A generalisation of contraction principle in metric spaces
cites work: Fixed point theorems for weakly contractive mappings in partially ordered metric-like spaces
cites work: Fixed points for \((\psi,\varphi)\)-weakly contractive mappings in generalized metric spaces
cites work: On the fixed point of \((\psi - \varphi)\)-weak and generalized \((\psi - \varphi)\)-weak contraction mappings
cites work: Fixed points for \((\psi , \varphi )\)-weak contractions
cites work: Some valid generalizations of Boyd and Wong inequality and \((\psi,\phi)\)-weak contraction in partially ordered \(b\)-metric spaces
cites work: Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications
cites work: Some coincidence theorems and stability of iterative procedures
cites work: Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces
cites work: Compatible mapping and common fixed points
description: scientific article; zbMATH DE number 7348531