WoS İndeksli Yayınlar Koleksiyonu

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

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Author: search.filters.author.Tas, KenanSubject: search.filters.subject.Fixed Point

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Now showing 1 - 4 of 4
  • Article
    Citation - WoS: 11
    Citation - Scopus: 15
    Fixed Points for Cyclic Orbital Generalized Contractions on Complete Metric Spaces
    (de Gruyter Open Ltd, 2013) Tas, Kenan; Karapinar, Erdal; Romaguera, Salvador
    We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293-303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 24
    Generalized Alpha-Psi Type Mappings of Integral Type and Related Fixed Point Theorems
    (Springer, 2014) Tas, Kenan; Karapinar, Erdal; Shahi, Priya
    The aim of this paper is to introduce two classes of generalized alpha-psi-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results are improved versions of a multitude of relevant fixed point theorems of the existing literature.
  • Article
    Citation - WoS: 79
    Citation - Scopus: 82
    A Generalized Contraction Principle With Control Functions on Partial Metric Spaces
    (Pergamon-elsevier Science Ltd, 2012) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan
    Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In this article, we prove a generalized contraction principle with control functions phi and psi on partial metric spaces. The theorems we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions. (C) 2011 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    New Common Fixed Point Theorems of Greğus Type for R-Weakly Commuting Mappings in 2-Metric Spaces
    (Hacettepe Univ, FAC Sci, 2009) Tas, Kenan; Murthy, P.p.
    In this paper we extend and generalize a theorem of M.R. Singh, L. S. Singh and P.P. Murthy (Common fixed points of set valued mappings, Int. J. Math. Sci., 25 (6), 411–415, 2001) in a 2-metric space with a Gregu˘s type condition, and give some common fixed point theorems of set-valued maps in 2-metric spaces.