Generalized c-distance on cone b-metric spaces endowed with a graph and fixed point results

Kamal Fallahi; Mujahid Abbas; Ghasem Soleimani Rad

doi:10.4995/agt.2017.7673

Authors

Kamal Fallahi Payame Noor University
Mujahid Abbas Government College University (Pakistan) ; King Abdulaziz University (Saudi Arabia)
Ghasem Soleimani Rad Payame Noor University ; Islamic Azad University https://orcid.org/0000-0002-0758-2758

DOI:

https://doi.org/10.4995/agt.2017.7673

Keywords:

cone b-metric space, generalized c-distance, fixed point, orbitally G-continuous mapping

Abstract

The aim of this paper is to present fixed point results of contractive mappings in the framework of cone b-metric spaces endowed with a graph and associated with a generalized c-distance. Some corollaries and an example are presented to support the main result proved herein. Our results unify, extend and generalize various comparable results in the literature.

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Author Biographies

Kamal Fallahi, Payame Noor University

Assistant Professor,Department of Mathematics

Mujahid Abbas, Government College University (Pakistan) ; King Abdulaziz University (Saudi Arabia)

Department of Mathematics

Ghasem Soleimani Rad, Payame Noor University ; Islamic Azad University

Lecturer,Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University

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