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

Laboratory of Dynamical Systems and Control, Department of Mathematics and Informatics, Larbi Ben M’hidi University, Oum-el-bouaghi, 04000, Algeria.

Faculty of Exact Science, El-oued University, Algeria

* Corresponding Author

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

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

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