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http://dx.doi.org/10.5666/KMJ.2021.61.2.441

Coupled Fixed Point Theorems in Modular Metric Spaces Endowed with a Graph  

Sharma, Yogita (Department of Computer Science, Shri Vaishnav Institute of Management)
Jain, Shishir (Department of Mathematics, Shri Vaishnav Vidyapeeth Vishwavidyalaya)
Publication Information
Kyungpook Mathematical Journal / v.61, no.2, 2021 , pp. 441-453 More about this Journal
Abstract
In this work, we define the concept of a mixed G-monotone mapping on a modular metric space endowed with a graph, and prove some fixed point theorems for this new class of mappings. Results of this paper extend coupled fixed point theorems from partially ordered metric spaces into the modular metric spaces endowed with a graph. An example is presented to illustrate the new result.
Keywords
coupled fixed point; G-monotone mapping; connected graph; modular metric space; partial order relation;
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