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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 10 (2020), Article ID 13

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

PDF (433.0 KB) https://doi.org/10.28919/afpt/4679

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.

Published
17 June 2020
Volume
10 (2020)
License
CC BY 3.0

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.

Cite this article

M. Mudhesh, M. Arshad, E. 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), 13. https://doi.org/10.28919/afpt/4679

BibTeX
@article{Mudhesh2020,
  author  = {Mudhesh, Mustafa and Arshad, Muhammad and Ameer, Eskandar},
  title   = {Fixed point results for generalized geraghty and quasi (α,β)-admissible type contraction mappings in b-metric-like spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {10},
  year    = {2020},
  pages   = {13},
  doi     = {10.28919/afpt/4679}
}