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


  • 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



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


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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How to Cite

K. Fallahi, M. Abbas, and G. Soleimani Rad, “Generalized c-distance on cone b-metric spaces endowed with a graph and fixed point results”, Appl. Gen. Topol., vol. 18, no. 2, pp. 391–400, Oct. 2017.