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

Sartaj Ali, Mujahid Abas, Safeer Hussain Khan

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.

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How to Cite this Article:

Sartaj Ali, Mujahid Abas, Safeer Hussain Khan, Best proximity point theorems for Fρ-proximal contraction in modular function spaces, Advances in Fixed Point Theory, Vol 9, No 2 (2019), 146-164

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.

Advances in Fixed Point Theory

ISSN: 1927-6303

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