Some coupled fixed point results for rational type contraction mappings in S-metric spaces

Abdullah Karami 1 , Shaban Sedghi 2  and Zoran D. Mitrovic 3 *

doi:10.26637/MJM0804/0117

Some coupled fixed point results for rational type contraction mappings in S-metric spaces

Authors :

Abdullah Karami ¹ , Shaban Sedghi² and Zoran D. Mitrovic ^{3 *}

Author Address :

^1,2 Department of Mathematics, Qaemshahr Branch Islamic Azad University, Qaemshahr, Iran.
³ University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina.

*Corresponding author.

Abstract :

We prove the existence of some coupled fixed point for rational type contraction mappings in $S-$metric space. Our results generalized, extend and enrich recently fixed point results in the literature. From the previous obtained results, we deduce some coincidence point results for mappings satisfying a contraction of an integral type as an application.

Keywords :

Fixed point, $S$-metric space, point of coincidence, continuous.

DOI :

10.26637/MJM0804/0117

Article Info :

Received : July 24, 2020; Accepted : November 22, 2020.