C-class functions with new approach on coincidence point results for generalized [Formula: see text]-weakly contractions in ordered b-metric spaces

Zead Mustafa; Mohammed M M Jaradat; Arslan Hojat Ansari; Branislav Z Popović; Husein M Jaradat

doi:10.1186/s40064-016-2481-1

C-class functions with new approach on coincidence point results for generalized [Formula: see text]-weakly contractions in ordered b-metric spaces

Springerplus. 2016 Jun 21;5(1):802. doi: 10.1186/s40064-016-2481-1. eCollection 2016.

Authors

Zead Mustafa¹, Mohammed M M Jaradat¹, Arslan Hojat Ansari², Branislav Z Popović³, Husein M Jaradat^{4

5}

Affiliations

¹ Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar.
² Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
³ Department of Mathematics and Informatics, University of Kragujevac, Radoja Domanovića 12, Kragujevac, 34 000 Serbia.
⁴ Department of Mathematics, Al al-Bayt University, Mafraq, Jordan.
⁵ Department of Mathematics and Applied Sciences, Dhofar University, Salalah, Oman.

Abstract

In this paper, by using the C-class functions and a new approach we present some coincidence point results for four mappings satisfying generalized [Formula: see text]-weakly contractive condition in the setting of ordered b-metric spaces. Also, an application and example are given to support our results.

Keywords: C-Class functions; Fixed point; Partially ordered set; b-Metric space.