Geodesic
Comments on the paper " Global optimal approximate solutions of best proximity points "
Filomat, Tome 36 (2022) no. 19, p. 6585

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DOI

In a recent paper " Filomat, 35:5 (2021), 1555–1564 " the authors proved some best proximity point theorems for classes of contractive pair of mappings as well as cyclic ψ-contractions under some sufficient conditions. In this article, we present some counterexamples of the existence results of contractive pair of mappings and present the corrected version of these results. We also show that the best proximity point theorem for cyclic ψ-contractions is a straightforward consequence of Boyd-Wong fixed point theorem by dropping an additional assumption.
DOI : 10.2298/FIL2219585G
Classification : 41A65, 41A52, 46N10
Keywords: Best proximity point, cyclic ψ-contraction map, fixed point, upper semicontinuity 
Moosa Gabeleh; Pradip Ramesh Patle. Comments on the paper " Global optimal approximate solutions of best proximity points ". Filomat, Tome 36 (2022) no. 19, p. 6585 . doi: 10.2298/FIL2219585G
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     author = {Moosa Gabeleh and Pradip Ramesh Patle},
     title = {Comments on the paper " {Global} optimal approximate solutions of best proximity points "},
     journal = {Filomat},
     pages = {6585 },
     year = {2022},
     volume = {36},
     number = {19},
     doi = {10.2298/FIL2219585G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2219585G/}
}
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