@article{Albargi2024, 
author = {Amer Hassan Albargi},
title = {Set-valued mappings and best proximity points: A study in  F-metric spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {33800-33817},
keywords = {best proximity points, set-valued almost Υ-contractions, F-metric spaces, fixed points},
url = {https://www.sciopen.com/article/10.3934/math.20241612},
doi = {10.3934/math.20241612},
abstract = {This paper introduces the concept of set-valued almost  Υ-contractions in  F-metric spaces, aiming to obtain the best proximity point results for set-valued mappings. The newly proposed idea of set-valued almost  Υ-contractions includes various contractive conditions like set-valued almost contractions, set-valued  Υ-contractions, and traditional  Υ-contractions. Consequently, the results presented here extend and unify numerous established works in this domain. To illustrate the practical significance of the theoretical findings, a specific example is provided.}
}