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Open AccessArticle

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

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Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
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China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(5), 387; https://doi.org/10.3390/math7050387
Received: 6 March 2019 / Revised: 18 April 2019 / Accepted: 23 April 2019 / Published: 28 April 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Nonlinear Problems with Applications)
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. View Full-Text
Keywords: common fixed point; ℱ-metric; dynamic programming common fixed point; ℱ-metric; dynamic programming
MDPI and ACS Style

Mitrović, Z.D.; Aydi, H.; Hussain, N.; Mukheimer, A. Reich, Jungck, and Berinde Common Fixed Point Results on ℱ-Metric Spaces and an Application. Mathematics 2019, 7, 387.

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