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