A fixed point theorem for a Meir-Keeler type contraction through rational expression


Authors

Bessem Samet - Department of Mathematics, King Saud University, Riyadh, Saudi Arabia. Calogero Vetro - Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, via Archirafi 34, 90123 Palermo, Italy. Habib Yazidi - Département de Mathématiques, Ecole Supérieure des Sciences et Techniques de Tunis, 5, Avenue Taha Hussein-Tunis, B. P.: 56, Bab Menara-1008, Tunisie.


Abstract

In this paper, we establish a new fixed point theorem for a Meir-Keeler type contraction through rational expression. The presented theorem is an extension of the result of Dass and Gupta (1975). Some applications to contractions of integral type are given.


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