Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article The Hausdorff-Pompeiu Distance in Gn-Menger Fractal Spaces(Mdpi, 2022) Saadati, Reza; Li, Chenkuan; Jarad, Fahd; O'Regan, Donal; O’Regan, DonalThis paper introduces a complete Gn-Menger space and defines the Hausdorff-Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for Gn-Menger-theta-contractions in fractal spaces.Article Citation - WoS: 14Citation - Scopus: 17Interpolative Meir-Keeler Mappings in Modular Metric Spaces(Mdpi, 2022) Fulga, Andreea; Yesilkaya, Seher Sultan; Karapinar, ErdalModular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular metric spaces. In particular, we examine the existence of interpolative Meir-Keeler contraction types via admissible mappings for fixed point theory. Our results bring together several results available in the current corresponding literature.Article Citation - WoS: 9Citation - Scopus: 13Contraction in Rational Forms in the Framework of Super Metric Spaces(Mdpi, 2022) Karapinar, Erdal; Fulga, AndreeaIn this paper, we investigate contractions in a rational form in the context of the supermetric space, which is a very interesting generalization of the metric space. We consider an illustrative example to support this new result on supermetric space.Article Citation - WoS: 26Citation - Scopus: 30Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces(Mdpi, 2021) Fulga, Andreea; Karapinar, Erdal; Shahzad, Naseer; Roldan Lopez de Hierro, Antonio FranciscoVery recently, Proinov introduced a great family of contractions in the setting of complete metric spaces that has attracted the attention of many researchers because of the very weak conditions that are assumed on the involved functions. Inspired by Proinov's results, in this paper, we introduce a new class of contractions in the setting of fuzzy metric spaces (in the sense of George and Veeramani) that are able to translate to this framework the best advantages of the abovementioned auxiliary functions. Accordingly, we present some results about the existence and uniqueness of fixed points for this class of fuzzy contractions in the setting of non-Archimedean fuzzy metric spaces.Article Citation - WoS: 2Citation - Scopus: 2On Wong Type Contractions(Mdpi, 2020) Fulga, Andreea; Karapinar, ErdalIn this paper, by using admissible mapping, Wong type contraction mappings are extended and investigated in the framework of quasi-metric spaces to guarantee the existence of fixed points. We consider examples to illustrate the main results. We also demonstrate that the main results of the paper cover several existing results in the literature.Article Citation - WoS: 41Citation - Scopus: 45On Istrescu Type Contractions in B-Metric Spaces(Mdpi, 2020) Karapinar, Erdal; Fulga, Andreea; Petrusel, AdrianIn this paper, we introduce the notions of <mml:semantics>alpha</mml:semantics>-almost Istrtescu contraction of type E and of type <mml:semantics>E</mml:semantics> in the setting of b-metric space. The existence of fixed points for such mappings is investigated and some examples to illustrate the validity of the main results are considered. In the last part of the paper, we list some immediate consequences.Article Citation - WoS: 4Citation - Scopus: 4New Results on Start-Points for Multi-Valued Maps(Mdpi, 2020) Karapinar, Erdal; Petrusel, Adrian; Radenovic, Stojan; Gaba, Yae UlrichIn this manuscript we investigate the existence of start-points for the generalized weakly contractive multi-valued mappings in the setting of left K-complete quasi-pseudo metric space. We provide an example to support the given result.Article Citation - WoS: 15Citation - Scopus: 15Multiparametric Contractions and Related Hardy-Roger Type Fixed Point Theorems(Mdpi, 2020) Karapinar, Erdal; Fulga, Andreea; Lopez de Hierro, Antonio Francisco Roldan; de Hierro, Antonio Francis Coroldán LópezIn this paper we present some novel fixed point theorems for a family of contractions depending on two functions (that are not defined on t = 0) and on some parameters that we have called multiparametric contractions. We develop our study in the setting of b-metric spaces because they allow to consider some families of functions endowed withb-metrics deriving from similarity measures that are more general than norms. Taking into account that the contractivity condition we will employ is very general (of Hardy-Rogers type), we will discuss the validation and usage of this novel condition. After that, we introduce the main results of this paper and, finally, we deduce some consequences of them which illustrates the wide applicability of the main results.Article Citation - WoS: 21Citation - Scopus: 27Extended Simulation Function Via Rational Expressions(Mdpi, 2020) Alqahtani, Badr; Karapinar, Erdal; Roldan Lopez de Hierro, Antonio Francisco; Alsubaie, RawanIn this paper, we introduce some common fixed point theorems for two distinct self-mappings in the setting of metric spaces by using the notion of a simulation function introduced in 2015. The contractivity conditions have not to be verified for all pairs of points of the space because it is endowed with an antecedent conditions. They are also of rational type because the involved terms in the contractivity upper bound are expressed, in some cases, as quotients.Article Citation - WoS: 2Citation - Scopus: 2A Result on a Pata-Ciri Type Contraction at a Point(Mdpi, 2020) Fulga, Andreea; Rakocevic, Vladimir; Karapinar, ErdalIn this manuscript, we define a new contraction mapping, Pata-Ciri type contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ciri. We proved that in a complete space, each Pata-Ciri type contraction at a point possesses a fixed point. We express an example to illustrate the observed result.