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Comments on the paper "Best proximity point results with their consequences and applications".

Authors :
Som, Sumit
Gabeleh, Moosa
Source :
Journal of Inequalities & Applications. 10/25/2022, Vol. 2022 Issue 1, p1-9. 9p.
Publication Year :
2022

Abstract

Very recently Jain et al. (J. Inequal. Appl. 2022:73, 2022) introduced the concept of multivalued F-contraction with altering distance function and investigated the existence of best proximity points for this class of mappings. In this article we prove that the existence of best proximity points for multivalued F-contraction non-self mappings can be obtained from the corresponding fixed point result for multivalued F-contraction self mappings, and so the main conclusion due to Jain et al. is not a real generalization of fixed point theory. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FIXED point theory

Details

Language :
English
ISSN :
10255834
Volume :
2022
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
159839374
Full Text :
https://doi.org/10.1186/s13660-022-02871-4