Mathematical Analysis and its Contemporary Applications

Some fixed point theorems of rational type contraction in complex valued b-metric spaces

https://doi.org/10.30495/maca.2022.1973964.1066
Volume 5, Issue 1
Winter 2023
Pages 51-64
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Souheib Merad 1
Taieb Hamaizia 2

1 Laboratory of Mathematics, Informatics and systems (LAMIS), Larbi Tebessi University, Tebessa, Algeria

2 System Dynamics and Control Laboratory, Department of Mathematics and Informatics, Oum El Bouaghi University, Algeria

Abstract
The aim of this paper is to prove a common fixed point theorem of rational type contraction in the context of complex-valued b-metric spaces and generalise some results in the existing literature. Finally, We furnish an interesting example in support of our main results.

Keywords

Common fixed point
Rational type contraction
Complex valued b-metric space
  • Receive Date 21 November 2022
  • Revise Date 05 December 2022
  • Accept Date 11 December 2022

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