Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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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: 21Citation - Scopus: 18Recent Advances on Metric Fixed Point Theory: a Review(Ministry Communications & High Technologies Republic Azerbaijan, 2023) Karapinar, E.In this note, we underline that some of the recent metric fixed point results overlap or repeat the previously existing corresponding ones. Further, we observe that some recently published results, which we might perceive as a generalization from the first point of view, are in fact equivalent. For the clarification and clearing of the literature, this review paper claims to play a crucial role.Book Part Citation - Scopus: 3Revisiting Fixed Point Results With a Contractive Iterative at a Point(Springer Science and Business Media Deutschland GmbH, 2021) Karapinar, E.In this manuscript, we shall discuss fixed point results with a contractive iterative at a point in the setting of various abstract space. The first aim of this paper is to collect the corresponding basic results on the topic in the literature. After then, our purpose is to combine and connect several existing results in this direction by generalizing the famous theorem of Matkowski. We shall consider some consequence of our main result to illustrate its genuineness. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.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.Article Citation - WoS: 62Citation - Scopus: 76A Survey:f-Contractions With Related Fixed Point Results(Springer Basel Ag, 2020) Fulga, Andreea; Agarwal, Ravi P.; Karapinar, ErdalIn this note, we aim to review the recent results onF-contractions, introduced by Wardowski. After examining the fixed point results for such operators, we collect the sequent results in this direction in a different setting. One of the aims of this survey is to provide a complete collection of several fixed generalizations and extensions ofF-contractions.Article Citation - WoS: 1Citation - Scopus: 2A Fixed Point Theorem for a System of Pachpatte Operator Equations(Springer Basel Ag, 2021) Ozturk, Ali; Rakocevic, Vladimir; Karapinar, ErdalIn this paper, we investigate sufficient conditions for the existence of solutions to the system {Tx=x, alpha(i)(x)=0(E), i = 1,2, ... r, where 0(E) is the zero vector of E, and alpha(i) : E -> E i = 1, 2, ... , r are mappings, T is a mapping satisfying the Pachpatte-contraction.