BEST PROXIMITY POINT THEOREMS FOR Fρ-PROXIMAL CONTRACTION IN MODULAR FUNCTION SPACES

Sartaj Ali; Mujahid Abbas; Safeer Hussain Khan

doi:10.28919/afpt/4026

BEST PROXIMITY POINT THEOREMS FOR Fρ-PROXIMAL CONTRACTION IN MODULAR FUNCTION SPACES

Sartaj Ali
, Mujahid Abbas
, Safeer Hussain Khan

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	146-164
Number of pages	19
Journal	Advances in Fixed Point Theory
Volume	9
Issue number	2
DOIs	https://doi.org/10.28919/afpt/4026
State	Published - Jan 1 2019

Keywords

Best proximity points
Modular function space
Proximal contraction

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10.28919/afpt/4026

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abstract = "In this paper, we introduce Wardowski{\textquoteright}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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BEST PROXIMITY POINT THEOREMS FOR Fρ-PROXIMAL CONTRACTION IN MODULAR FUNCTION SPACES

Abstract

Keywords

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