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

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Now showing 1 - 10 of 15
  • 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
    On a Generalized Α-Admissible Rational Type Contractive Mapping
    (Yokohama Publications, 2016) Erhan,I.M.; Kir,M.
    Recently, many generalized contractive conditions which involve rational contractive inequalities have been introduced in the context of partially ordered metric spaces. In this paper, we aim to give a generalized rational contractive condition which involves some of these results without need of extra restrictions. © 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.
  • Article
    ON A GENERALIZED α-ADMISSIBLE RATIONAL TYPE CONTRACTIVE MAPPING
    (Yokohama Publ, 2016) Erhan, Inci M.; Kir, Mehmet
    Recently, many generalized contractive conditions which involve rational contractive inequalities have been introduced in the context of partially ordered metric spaces. In this paper, we aim to give a generalized rational contractive condition which involves some of these results without need of extra restrictions.
  • Article
    Citation - WoS: 70
    FIXED POINTS OF GENERALIZED α-ADMISSIBLE CONTRACTIONS ON <i>b</i>-METRIC SPACES WITH AN APPLICATION TO BOUNDARY VALUE PROBLEMS
    (Yokohama Publ, 2016) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
    A general class of alpha-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.
  • Article
    Citation - WoS: 94
    Citation - Scopus: 115
    Solution of Fractional Differential Equations Via Coupled Fixed Point
    (Texas State Univ, 2015) Afshari, Hojjat; Kalantari, Sabileh; Karapinar, Erdal
    In this article, we investigate the existence and uniqueness of a solution for the fractional differential equation by introducing some new coupled fixed point theorems for the class of mixed monotone operators with perturbations in the context of partially ordered complete metric space.
  • Article
    Citation - WoS: 3
    Uniqueness of Solution for Second Order Nonlinear <i>q</I>-difference Equations With Multi-Point and Integral Boundary Conditions
    (Yokohama Publ, 2022) Adiguzel, Rezan Sevinik; Sevinik Adıgüzel, Rezan; Sevinik Adıgüzel, Rezan; Mathematics; Mathematics
    The existence and uniqueness of the solution for the boundary value problem associated with nonlinear second-order q-difference equation is discussed by Banach contraction mapping theorem on b-metric spaces. The problem is converted to an integral equation and investigated via a fixed point problem for an integral operator. Existence and uniqueness conditions for a fixed point of the integral operator are obtained. Moreover, an example is introduced to support the main results.
  • Article
    Citation - WoS: 8
    ON (α-φ)-MEIR-KEELER CONTRACTIONS ON PARTIAL HAUSDORFF METRIC SPACES
    (Univ Politehnica Bucharest, Sci Bull, 2018) Chen, Chi-Ming; Karapinar, Erdal; O'Regan, Donal
    In this note we introduce the concept of a (alpha-phi)-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.