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

Archives › Volume 9, Number 2 (2019)

Adv. Fixed Point Theory 9 (2019), 146–164

Best proximity point theorems for Fρ-proximal contraction in modular function spaces

Sartaj Ali, Mujahid Abas, Safeer Hussain Khan

PDF (180.9 KB) https://doi.org/10.28919/afpt/4026

Abstract

In this paper, we introduce Wardowski’s F-contractions in the context of modular function spaces. We also introduce the concept of Fρ-proximal contraction and prove some best proximity point theorems by unifying and generalizing some recent results in modular function spaces. Moreover, we discuss some illustrative examples to highlight the realized improvements.

Published
1 April 2019
Volume
9 (2019)
License
CC BY 3.0

Copyright © 2019 Sartaj Ali, Mujahid Abas, Safeer Hussain Khan. 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

S. Ali, M. Abas, S. H. Khan, Best proximity point theorems for Fρ-proximal contraction in modular function spaces, Adv. Fixed Point Theory 9 (2019), 146–164. https://doi.org/10.28919/afpt/4026

BibTeX
@article{Ali2019,
  author  = {Ali, Sartaj and Abas, Mujahid and Khan, Safeer Hussain},
  title   = {Best proximity point theorems for Fρ-proximal contraction in modular function spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {9},
  year    = {2019},
  pages   = {146--164},
  doi     = {10.28919/afpt/4026}
}