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A note on the paper 'A global optimality result in probabilistic spaces using control function'.
- 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 :
- *METRIC spaces
*MATHEMATICS
*SIN
Subjects
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