# 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
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.

### Share and Cite

##### ISRP Style

Zead Mustafa, M. M. M. Jaradat, Arslan Ansari, Feng Gu, Hui-hui Zheng, Stojan Radenović, M. S. Bataineh, Common fixed point theorems for two pairs of self-mappings in partial metric space using $C$-class functions on $(\psi,\varphi)$-contractive condition, Journal of Mathematics and Computer Science, 18 (2018), no. 2, 216--231

##### AMA Style

Mustafa Zead, Jaradat M. M. M., Ansari Arslan, Gu Feng, Zheng Hui-hui, Radenović Stojan, Bataineh M. S., Common fixed point theorems for two pairs of self-mappings in partial metric space using $C$-class functions on $(\psi,\varphi)$-contractive condition. J Math Comput SCI-JM. (2018); 18(2):216--231

##### Chicago/Turabian Style

Mustafa, Zead, Jaradat, M. M. M., Ansari, Arslan, Gu, Feng, Zheng, Hui-hui, Radenović, Stojan, Bataineh, M. S.. "Common fixed point theorems for two pairs of self-mappings in partial metric space using $C$-class functions on $(\psi,\varphi)$-contractive condition." Journal of Mathematics and Computer Science, 18, no. 2 (2018): 216--231

### Keywords

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

•  47H10
•  54H25

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