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  • Article
    Citation - WoS: 22
    Citation - Scopus: 23
    A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function
    (Hacettepe Univ, Fac Sci, 2013) Gulyaz, Selma; Karapinar, Erdal; Mathematics
    In this manuscript, we discuss the existence of coupled fixed points in the context of partially ordered metric spaces through implicit relations for mappings F:X x X -> X such that F has the mixed monotone property. Our main theorem improves and extends various results in the literature. We also state an example to illustrate our work.
  • 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: 5
    Citation - Scopus: 3
    Common Coupled Fixed Point Theorems in d-complete Topological Spaces
    (Duke Univ Press, 2012) Rao, K. P. R.; Rao, K. R. K.; Karapinar, Erdal
    In this paper, we give two unique common coupled fixed point theorems for mappings satisfying a generalized condition in d-complete topological spaces.