On a New Type of $F-$function Fixed Point Theorem in Generalized Orthogonal $b-$Metric Spaces


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Authors

  • Qianchen Wang School of Mathematics and Systems Science, Shenyang normal university, Shenyang 110034, China
  • Hongyan Guan School of Mathematics and Systems Science, Shenyang normal university, Shenyang 110034, China

Keywords:

$O-b-$metric space, fixed point, $O-\alpha -$admissible , orthogonal generalized contractive mapping, $F-$type functions, weak exchange preservation

Abstract

In this paper, we propose the concept of contraction of orthogonal $F-$type functions of contractive mappings and weak exchange preservation and prove one fixed point theorems on complete orthogonal $b-$metric spaces. We also provide an example that supports our theorem.

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Published

01-10-2023

How to Cite

Wang, Q., & Hongyan Guan. (2023). On a New Type of $F-$function Fixed Point Theorem in Generalized Orthogonal $b-$Metric Spaces. International Journal of Mathematics And Its Applications, 11(4), 9–18. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1380

Issue

Vol. 11 No. 4 (2023)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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