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A note on the paper 'A global optimality result in probabilistic spaces using control function'.

Authors :
Gabeleh, Moosa
Source :
Optimization. Nov2023, Vol. 72 Issue 11, p2739-2744. 6p.
Publication Year :
2023

Abstract

Very recently, P. Saha et al. [A global optimality result in probabilistic spaces using control function. Optimization. 2021;70:2387–2400] studied the existence of best proximity points for Banach type ϕ-proximal contractions in the framework of Menger probabilistic metric spaces. In this paper, we present a simple proof of their main existence result which is based on a fixed point theorem for ϕ-contractive self-mappings in complete Menger PM-spaces due to B.S. Choudhury and K. Das [A new contraction principle in Menger spaces. Acta Math Sin. 2008;24:13791386]. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*METRIC spaces
*MATHEMATICS
*SIN

Details

Language :
English
ISSN :
02331934
Volume :
72
Issue :
11
Database :
Academic Search Index
Journal :
Optimization
Publication Type :
Academic Journal
Accession number :
173118957
Full Text :
https://doi.org/10.1080/02331934.2022.2072219