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

Kamal Fallahi, Mujahid Abbas, Ghasem Soleimani Rad


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.


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

Subject classification

46A19; 47H10; 05C20

Full Text:



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