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  • Article
    Citation - WoS: 52
    Citation - Scopus: 69
    Quadruple Fixed Point Theorems for Nonlinear Contractions
    (Pergamon-elsevier Science Ltd, 2012) Karapinar, Erdal; Nguyen Van Luong
    The notion of coupled fixed point is introduced by Gnana-Bhaskar and Lakshmikantham. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut. In this manuscript, a quadruple fixed point is considered and some new related fixed point theorems are obtained. We also give some examples to illustrate our results. (c) 2012 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 143
    Citation - Scopus: 141
    Coupled Fixed Point Results for (ψ, Φ)-Weakly Contractive Condition in Ordered Partial Metric Spaces
    (Pergamon-elsevier Science Ltd, 2011) Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi
    In this paper, we prove some coupled fixed point theorems involving a (psi, phi)-weakly contractive condition for mapping having the mixed monotone property in ordered partial metric spaces. These results are analogous to theorems of Van Luong and Xuan Thuan (2011) [10] on the class of ordered partial metric spaces. Also, an application is given to support our results. (C) 2011 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 51
    Citation - Scopus: 61
    Quadruple Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces
    (Duke Univ Press, 2012) Karapinar, Erdal; Berinde, Vasile
    In this paper we obtain existence and uniqueness results for quadruple fixed points of operators F : X-4 -> X. We also give some examples to support our results.
  • Article
    Citation - Scopus: 1
    Triple Fixed Point Theorems for Weak (ψ-Φ)
    (2013) Karapinar,E.; Sadarangani,K.
    The notion of coupled fixed point is introduced in by Bhaskar and Lakshmikantham in [2]. Very recently, the concept of the tripled fixed point is introduced by Berinde and Borcut [1]. They also proved some triple fixed point theorems. In this manuscript, by using the weak (ψ-φ)-contraction, the results of Berinde and Borcut [1] are generalized. © 2013 EUDOXUS PRESS, LLC.