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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. 2022
Publication Year :
2022
Publisher :
Springer Science and Business Media LLC, 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.

Details

ISSN :
1029242X
Volume :
2022
Database :
OpenAIRE
Journal :
Journal of Inequalities and Applications
Accession number :
edsair.doi...........270e1b69d010d59b9da5644cc4694630