Best Proximity Point of Generalized (F − τ )-Proximal Non-Self Contractions in Generalized Metric Spaces

Authors

Abdelkarim Kari, Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, B.P. 7955 Casablanca, MoroccoFollow
Hasanen A. Hammad, Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia\\ Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptFollow
Adil Baiz, Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, B.P. 7955 Casablanca, MoroccoFollow
Mouline Jamal, Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, B.P. 7955 Casablanca, MoroccoFollow

Author Country (or Countries)

Egypt

Abstract

In this manuscript, we introduce the idea of generalized (F,τ)-proximal contraction and prove new best proximity results for these contractions in the context of a generalized metric space. Our findings extend and generalize a number of previous results from the literature. Also, We present an example to illustrate the applicability of our results. Keywords:

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160601

Recommended Citation

Kari, Abdelkarim; A. Hammad, Hasanen; Baiz, Adil; and Jamal, Mouline (2022) "Best Proximity Point of Generalized (F − τ )-Proximal Non-Self Contractions in Generalized Metric Spaces," Applied Mathematics & Information Sciences: Vol. 16: Iss. 5, Article 1.
DOI: http://dx.doi.org/10.18576/amis/160601
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss5/1