Some Common Fixed Point Results in $b-$metric Spaces Endowed with a Graph


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Authors

  • Luwen Miao School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, People's Republic of China
  • Hongyan Guan School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, People's Republic of China

Keywords:

Common fixed point, weakly compatible, $b-$metric, graph

Abstract

In this paper, we study the conditions for the existence of a unique common fixed point of generalized $(\psi,\varphi)-$ contractive mappings in the framework of $b-$metric spaces endowed with a graph. We give some examples to support our results.

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Published

25-01-2026

How to Cite

Luwen Miao, & Hongyan Guan. (2026). Some Common Fixed Point Results in $b-$metric Spaces Endowed with a Graph. International Journal of Mathematics And Its Applications, 13(4), 101–115. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1638

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Section

Research Article