WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Scopus Q: search.filters.scopusQuartile.Q2Subject: search.filters.subject.B-Metric Space

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  • Article
    Citation - WoS: 144
    Citation - Scopus: 156
    Uniqueness of Solution for Higher-Order Nonlinear Fractional Differential Equations With Multi-Point and Integral Boundary Conditions
    (Springer-verlag Italia Srl, 2021) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Sevinik-Adiguzel, Rezan
    This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a novel approach of employing a fixed point theorem based on contractive iterates of the integral operator for the corresponding fixed point problem. We start with developing an existence-uniqueness theorem for self-mappings with contractive iterate in a b-metric-like space. Then, we obtain the unique solvability of the problem under suitable conditions by utilizing an appropriate b-metric-like space.
  • Article
    Citation - WoS: 41
    Citation - Scopus: 45
    On Istrescu Type Contractions in B-Metric Spaces
    (Mdpi, 2020) Karapinar, Erdal; Fulga, Andreea; Petrusel, Adrian
    In 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: 15
    Citation - Scopus: 15
    Multiparametric 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 López
    In 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.