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Journal of Inequalities and Applications
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A generalization on weak contractions in partially ordered b-metric spaces and its application to quadratic integral equations

descriptionPublicationkeyboard_double_arrow_right Article 24 Sep 2014 English Publisher:Springer Science and Business Media LLCJournal:Journal of Inequalities and Applications, volume 2,014 (eissn: 1029-242X, Copyright policy )
Authors: Reza Arab; Ali Shole Haghighi; Reza Allahyari;

doi: 10.1186/1029-242x-2014-355

A generalization on weak contractions in partially ordered b-metric spaces and its application to quadratic integral equations

Abstract

AbstractWe introduce the notion of almost generalized(ψ,φ,L)-contractive mappings, and establish the coincidence and common fixed point results for this class of mappings in partially ordered completeb-metric spaces. Our results extend and improve several known results from the context of ordered metric spaces to the setting of orderedb-metric spaces. As an application, we prove the existence of a unique solution to a class of nonlinear quadratic integral equations.

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Keywords

Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Top 10%
Top 10%
Average
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