Petrusel, AdrianPetrusel, GabrielaKarapinar, Erdal2022-05-112025-09-182022-05-112025-09-182021Karapınar, Erdal; Petruşel, Adrian; Petruşel, Gabriela (2021). "Frum-ketkov type multivalued operators", Carpathian Journal of Mathematics, Vol. 37, No. 2, pp. 203-210.1584-28511843-4401https://doi.org/10.37193/CJM.2021.02.06https://hdl.handle.net/20.500.12416/13087Let (M, d) be a metric space, X subset of M be a nonempty closed subset and K subset of M be a nonempty compact subset. By definition, an upper semi-continuous multivalued operator F : X -> P (X) is said to be a strong Frum-Ketkov type operator if there exists alpha is an element of]0, 1[ such that e(d)(F(x), K) <= alpha D-d (x, K), for every x is an element of X, where e(d) is the excess functional generated by d and D-d is the distance from a point to a set. In this paper, we will study the fixed points of strong Frum-Ketkov type multivalued operators.eninfo:eu-repo/semantics/closedAccessMetric SpaceMultivalued Weakly Picard OperatorAsymptotic Regular Multivalued OperatorContractive Multivalued OperatorQuasinonexpansive Multivalued OperatorFixed PointStrict Fixed PointFixed Point StructureFrum-Ketkov OperatorStrong Frum-Ketkov Multivalued OperatorFrum-Ketkov SelectionAsymptotic RegularityAsymptotic Regular SelectionArticle10.37193/CJM.2021.02.062-s2.0-85108642900