Karapınar, ErdalJleli, MohamedKarapinar, ErdalSamet, BessemMathematics2024-07-052024-07-052013141085-33751687-040910.1155/2013/3294512-s2.0-84885641642https://doi.org/10.1155/2013/329451https://hdl.handle.net/20.500.14411/289KARAPINAR, ERDAL/0000-0002-6798-3254; Jleli, Mohamed/0000-0002-6095-5875; Samet, Bessem/0000-0002-6769-3417Consider a nonself-mapping T: A -> B, where (A, B) is a pair of nonempty subsets of a modular space. X-rho. A best proximity point of T is a point z is an element of A satisfying the condition: rho(z - Tz) = inf {rho(x-y) : (x,y) is an element of A x B}. In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings, we provide sufficient conditions assuring the existence and uniqueness of best proximity points.eninfo:eu-repo/semantics/openAccess[No Keyword Available]ArticleQ2WOS:000325280100001