Fixed point results for generalized geraghty and quasi (α,β)-admissible type contraction mappings in b-metric-like spaces

Mustafa Mudhesh, Muhammad Arshad, Eskandar Ameer

Abstract


In this paper, we extend the concept of generalized (α,β)-quasi contraction and obtain some fixed point theorems for such contractions on b-metric like spaces. We introduce the notion of a pair of generalized (α,β)-Geraghty type contractive mappings and establish some new common fixed point theorems satisfying a pair of generalized (α,β)-Geraghty type contractive mapping in complete b-metric-like space. Examples are included to illustrate that our result is a proper generalization of previous results. An application is also provided.

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Published: 2020-06-17

How to Cite this Article:

Mustafa Mudhesh, Muhammad Arshad, Eskandar Ameer, Fixed point results for generalized geraghty and quasi (α,β)-admissible type contraction mappings in b-metric-like spaces, Adv. Fixed Point Theory, 10 (2020), Article ID 13

Copyright © 2020 Mustafa Mudhesh, Muhammad Arshad, Eskandar Ameer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

ISSN: 1927-6303

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