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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 7

Common fixed point theorems for generalized f-Geraghty type contraction in partial b-metric-like spaces

Muhammad Arshad, Mustafa Mohammed, Eskandar Ameer, Sartaj Ali

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Abstract

In this paper, we introduce the notion of a pair of new generalized F-Geraghty type contraction mappings and establish some new common fixed point theorems for such contraction in complete partial b-metric-like spaces. Examples are included to illustrate that our results are proper generalizations of previous results. We also discuss an application to the existence of solution for a nonlinear integral equation.

Published
29 April 2020
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2020 Muhammad Arshad, Mustafa Mohammed, Eskandar Ameer, Sartaj Ali. 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. Arshad, M. Mohammed, E. Ameer, S. Ali, Common fixed point theorems for generalized f-Geraghty type contraction in partial b-metric-like spaces, Adv. Fixed Point Theory 10 (2020), 7. https://doi.org/10.28919/afpt/4155

BibTeX
@article{Arshad2020,
  author  = {Arshad, Muhammad and Mohammed, Mustafa and Ameer, Eskandar and Ali, Sartaj},
  title   = {Common fixed point theorems for generalized f-Geraghty type contraction in partial b-metric-like spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {10},
  year    = {2020},
  pages   = {7},
  doi     = {10.28919/afpt/4155}
}