Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 4Citation - Scopus: 4Fixed Point Theorems for Basic Θ-Contraction and Applications(North Univ Baia Mare, 2024) Cvetkovic, Marija; Karapinar, Erdal; Petrusul, Drian; Petruşel, AdrianThe main aim of this paper is omitting some superfluous assumptions in the definition of the class of functions Theta, by means of which were defined and studied various classes of theta-contractions, and still obtaining the uniqueness of the fixed point for this new type of contractive mappings. Several generalizations of continuous theta-contractions are presented along with their applications to the study of integral equations.Article Citation - WoS: 2Citation - Scopus: 2Frum-Ketkov Type Multivalued Operators(North Univ Baia Mare, 2021) Petrusel, Adrian; Petrusel, Gabriela; Karapinar, ErdalLet (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.