Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Conference Object Citation - WoS: 13Citation - Scopus: 12On Admissible Hybrid Geraghty Contractions(North Univ Baia Mare, 2020) Karapinar, Erdal; Karapınar, Erdal; Petrusel, Adrian; Petrusel, Gabriela; MatematikIn this manuscript, we introduce the notion of admissible hybrid Geraghty contraction and we investigate the existence of fixed points of such mappings in the setting of complete metric spaces. Our results not only extend and generalize several results in the fixed point theory literature, but also unify most of them. We give some corollaries to illustrate the novelty of the main result.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.