Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2020.03.25
  • Accepted : 2021.01.06
  • Published : 2021.06.30
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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.

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References

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