Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

Partial Coupled Fixed Points and Coupled Fixed Points

Download PDF (524.2 KB) PP. 183 - 194 Pub. Date: July 12, 2016

DOI: 10.22606/jaam.2016.13005

Author(s)

  • Marta Demma
    Dipartimento di Matematica e Informatica, University of Palermo, Via Archirafi n. 34, 90123 Palermo, Italy
  • Peyman Salimi
    Department of Mathematics, Sahand University of Technology, Tabriz, Iran
  • Pasquale Vetro*
    Dipartimento di Matematica e Informatica, University of Palermo, Via Archirafi n. 34, 90123 Palermo, Italy

Abstract

We establish partial coupled fixed point and coupled fixed point results for mixed monotone mappings satisfying a generalized contractive condition in ordered partial metric spaces and ordered metric spaces. Our results generalize some interesting coupled fixed point theorems obtained in [T. G. Bhaskar and V. Lakshmikantham, “Fixed point theorems in partially ordered metric spaces and applications”, Nonlinear Anal., vol. 65, pp. 1379–1393, 2006].

Keywords

Partial coupled fixed point, coupled fixed point, mixed monotone property, partially ordered set, ordered partial metric spaces, ordered metric spaces.

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