On some fixed points of \(\alpha-\psi\) contractive mappings with rational expressions

Volume 10, Issue 4, pp 1569--1581 http://dx.doi.org/10.22436/jnsa.010.04.23

Publication Date: April 20, 2017 Submission Date: March 30, 2015

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Authors

Erdal Karapinar - Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, 21589, Jeddah, S. A. Abdelkader Dehici - Department of Mathematics and Informatics, University of Souk-Ahras, P. O. Box 1553, Souk-Ahras 41000, Algeria. Nadjeh Redjel - Department of Mathematics, University of Constantine 1, Constantine 25000, Algeria.

Abstract

In this paper, we study the existence and uniqueness of fixed points for a new class of contractive mappings involving rational expressions, which enable us to extend many known results in the literature. We consider illustrative example and consequences to underline the novelty of the main results.

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Keywords

• Complete metric space
• (c)-comparison function
• fixed point
• \(\alpha\)-admissible mapping
• cyclic mapping.

MSC

•  46T99
•  47H10
•  54H25

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