Reich, Jungck, and Berinde Common Fixed Point Results on ?-Metric Spaces and an Application

Zoran D. Mitrović, Hassen Aydi, Nawab Hussain and Aiman Mukheimer
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Zoran D. Mitrović: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Hassen Aydi: Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
Nawab Hussain: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Aiman Mukheimer: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Mathematics, 2019, vol. 7, issue 5, 1-10

Abstract: Jleli and Samet (2018) introduced a new concept, named an F -metric space, as a generalization of the notion of a metric space. In this paper, we prove certain common fixed point theorems in F -metric spaces. As consequences of our results, we obtain results of Banach, Jungck, Reich, and Berinde in these spaces. An application in dynamic programming is also given.

Keywords: common fixed point; ?-metric; dynamic programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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