A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b -Metric Spaces with Application in Integral Equations-Reference-Cited by-同舟云学术

A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b -Metric Spaces with Application in Integral Equations

Published:2020-09-29 Issue: Volume:2020 Page:1-7
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Mitrović Zoran D.¹^ORCID,Aranđelović Ivan D.²^ORCID,Mišić Vesna³,Dinmohammadi Abdollah⁴^ORCID,Parvaneh Vahid⁵^ORCID

Affiliation:

1. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

2. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Beograd, Serbia

3. Faculty of Transport and Traffic Engineering, University of East Sarajevo, Vojvode Mišića 52, 53000 Doboj, Bosnia and Herzegovina

4. Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran

5. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

Abstract

In this paper, we present a common fixed point result for a pair of mappings defined on a b-metric space, which satisfies quasi-contractive inequality with nonlinear comparison functions. An application in solving a class of integral equations will support our results.

Funder

Ministry of Education, Science and Technological Development of Serbia

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2020/2840482.pdf

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