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

Authors :
Sumit Som
Moosa Gabeleh
Source :
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-9 (2022)
Publication Year :
2022
Publisher :
SpringerOpen, 2022.

Abstract

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.

Details

Language :
English
ISSN :
1029242X
Volume :
2022
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Journal of Inequalities and Applications
Publication Type :
Academic Journal
Accession number :
edsdoj.f71b4dc49008413eacde05913e802f62
Document Type :
article
Full Text :
https://doi.org/10.1186/s13660-022-02871-4