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Permanent URI for this collectionhttps://hdl.handle.net/20.500.14411/18

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Author: search.filters.author.Karapinar,E.Subject: search.filters.subject.Fixed point

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Now showing 1 - 4 of 4
  • Article
    Citation - WoS: 8
    Citation - Scopus: 11
    On (α-Φ) Contractions on Partial Hausdorff Metric Spaces
    (Politechnica University of Bucharest, 2018) Chen,C.-M.; Karapinar,E.; O'Regan,D.
    In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results. © 2018 Politechnica University of Bucharest. All rights reserved.
  • Article
    Citation - WoS: 70
    Citation - Scopus: 76
    Fixed Points of Generalized Α-Admissible Contractions on B-Metric Spaces With an Application To Boundary Value Problems
    (Yokohama Publications, 2016) Aksoy,Ü.; Karapinar,E.; Erhan,I.M.
    A general class of α-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations. © 2016.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Discussion on the Equivalence of W-Distances With Ω-Distances
    (Yokohama Publications, 2015) Roldán-López-De-Hierro,A.-F.; Karapınar, Erdal; Karapinar,E.; Karapınar, Erdal; Mathematics; Mathematics
    In this manuscript, we study some relationships between w-distances on metric spaces and Ω-distances on G*-metric spaces. Concretely we show that the class of all w-distances on metric spaces is a subclass of all Ω-distances on G*-metric spaces. Then, researchers must be careful because some recent results about w-distances (for instances, in the topic of fixed point theory) can be seen as simple consequences of their corresponding results about Ω-distances. In this sense, we show how to translate some results between different metric models. © 2015.
  • Article
    Citation - WoS: 202
    Citation - Scopus: 210
    A common fixed point for weak øcontractions on b-metric spaces
    (House Book Science-Casa Cartii Stiinta, 2012) Aydi,H.; Bota,M.-F.; Karapinar,E.; Moradi,S.
    In this paper, we give a common fixed point result for single-valued and multi-valued mappings satisfying a weak Øcontraction in b-metric spaces. Presented theorems extend, generalize and improve some existing results in the literature. Some examples are also given.