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Common fixed point result for generalized α*- ψ-contraction for C-class functions in b-metric spaces

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1Laboratory of Dynamical Systems and Control, Department of Mathematics and Informatics, Larbi Ben M’hidi University, Oum-el-bouaghi, 04000, Algeria.2Faculty of Exact Science, El-oued University, Algeria

* Corresponding Author: Taieb Hamaizia. Email: tayeb042000@yahoo.fr

Annals of Communications in Mathematics 2021, 4 (2), 155-163. https://doi.org/10.62072/acm.2021.040208

Received: 29 April 2021 |

Accepted: 20 June 2021 |

Published: 30 September 2021

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Abstract

In this paper, we prove common fixed point theorems for α∗-ψ-contraction in b-metric spaces, which generalizes the result of S. Aleksic et al [Remarks on common fixed point results for generalized α∗-ψ-contraction multivalued mappings in b-metric spaces ,Adv. Fixed Point Theory, 9 (2019), No. 1, 1-16] using the concept of C class function in b-in metric spaces. An example is given to support our results.

Keywords

b-metric space; C-class function; Common fixed point

Cite This Article

Said Beloul, Taieb Hamaizia.

Common fixed point result for generalized α*- ψ-contraction for C-class functions in b-metric spaces.

Annals of Communications in Mathematics

2021,

4 (2):

155-163.

https://doi.org/10.62072/acm.2021.040208

Copyright © 2021 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).