Common fixed point theorems for two pairs of self-mappings in partial metric space using \(C\)-class functions on \((\psi,\varphi)\)-contractive condition

Volume 18, Issue 2, pp 216--231 http://dx.doi.org/10.22436/jmcs.018.02.09

Publication Date: February 01, 2018 Submission Date: March 01, 2017

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Authors

Zead Mustafa - Department of Mathematics, Statistics and Physics, Qatar University, Doha-Qatar M. M. M. Jaradat - Department of Mathematics, Statistics and Physics, Qatar University, Doha-Qatar Arslan Ansari - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran Feng Gu - Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China Hui-hui Zheng - Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China Stojan Radenović - Faculty of Mechanical Engineering, University of Belgrade, Serbia M. S. Bataineh - Department of Mathematics, University of Sharjah, Sharjah, United Arab Emirates

Abstract

The purpose of this paper is to introduce common fixed point results for two pairs of weakly compatible self-mappings in partial metric space using \(C\)-class functions on \((\psi,\varphi)\)-contractive condition. Example and application on integral equations are presented to illustrate the main result. Our results extend and generalize well know results in the literature.

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Keywords

• (\(\psi
• \varphi\))-Contractive mapping
• common fixed point
• coincidence point
• partial metric space
• weakly compatible mappings
• \(C\)-class functions
• integral equations

MSC

•  47H10
•  54H25

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