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Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function Cover

Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function

Open Access
|Dec 2017

Abstract

In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our results extend and improve some fixed point theorems in the literature.

DOI: https://doi.org/10.1515/awutm-2017-0011 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 3 - 15
Submitted on: Apr 11, 2015
Accepted on: Sep 24, 2017
Published on: Dec 29, 2017
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2017 Muaadh Almahalebi, Amir Hojat Ansari, Sumit Chandok, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.