On a new variant of F-contractive mappings with application to fractional differential equations
Articles
Pradip Ramesh Patle
Amity University Madhya Pradesh
https://orcid.org/0000-0002-9650-6107
Moosa Gabeleh
Ayatollah Boroujerdi University
https://orcid.org/0000-0001-5439-1631
Published 2022-06-30
https://doi.org/10.15388/namc.2022.27.27963
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Keywords

best proximity point
measure of noncompactness
F-contractive operator
fractional differential equation

How to Cite

Patle, P.R. and Gabeleh, M. (2022) “On a new variant of F-contractive mappings with application to fractional differential equations”, Nonlinear Analysis: Modelling and Control, 27(5), pp. 964–979. doi:10.15388/namc.2022.27.27963.

Abstract

The present article intends to prove the existence of best proximity points (pairs) using the notion of measure of noncompactness. We introduce generalized classes of cyclic (noncyclic) F-contractive operators, and then derive best proximity point (pair) results in Banach (strictly convex Banach) spaces. This work includes some of the recent results as corollaries. We apply these conclusions to prove the existence of optimum solutions for a system of Hilfer fractional
differential equations.

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