Geodesic
Best proximity points for (φ − ψ)-weak contractions and some applications
Filomat, Tome 37 (2023) no. 6, p. 1835

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DOI

The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.
DOI : 10.2298/FIL2306835F
Classification : 47H10, 47H09
Keywords: Best proximity point, Partially ordered metric space, Order proximal, Lebesgue integral, Lower semi-continuous 
Kamal Fallahi; Ghasem Soleimani Rad; Andreea Fulga. Best proximity points for (φ − ψ)-weak contractions and some applications. Filomat, Tome 37 (2023) no. 6, p. 1835 . doi: 10.2298/FIL2306835F
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     title = {Best proximity points for (\ensuremath{\varphi} \ensuremath{-} \ensuremath{\psi})-weak contractions and some applications},
     journal = {Filomat},
     pages = {1835 },
     year = {2023},
     volume = {37},
     number = {6},
     doi = {10.2298/FIL2306835F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306835F/}
}
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