Geodesic
A best proximity point theorem for c-class-proximal non-self mappings and applications to an integro-differential system of equations
Filomat, Tome 37 (2023) no. 14, p. 4725

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DOI

In this paper, we propose a best proximity point theorem for a novel class of non-self-mappings by using the definition of a pair (F , h) of upper class of type II and the concept of C-class functions. Several consequences (including the case of self-mappings) of our obtained results are suggested. We support our obtained results by concrete examples. In the end, we consider an integro-differential system of equations. We ensure the existence of an optimal solution, which turns to be an exact solution of the system when boundary conditions are equal.
DOI : 10.2298/FIL2314725A
Classification : 47H10, 54H25, 46S40
Keywords: Best proximity point, (F, h, f, α − λ − a − b)-proximal non-self-mapping, C- class function, fractional equation 
M I Ayari; H Aydi; H Hammouda. A best proximity point theorem for c-class-proximal non-self mappings and applications to an integro-differential system of equations. Filomat, Tome 37 (2023) no. 14, p. 4725 . doi: 10.2298/FIL2314725A
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     title = {A best proximity point theorem for c-class-proximal non-self mappings and applications to an integro-differential system of equations},
     journal = {Filomat},
     pages = {4725 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314725A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314725A/}
}
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