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  • Article
    Citation - WoS: 18
    Citation - Scopus: 21
    TRIPLED BEST PROXIMITY POINT THEOREM IN METRIC SPACES
    (Element, 2013) Cho, Yeol Je; Gupta, Animesh; Karapinar, Erdal; Kumam, Poom; Sintunavarat, Wutiphol
    The purpose of this article is to first introduce the notion of tripled best proximity point and cyclic contraction pair. We also establish the existence and convergence theorems of tripled best proximity points in metric spaces. Moreover, we apply our results to setting of uniformly convex Banach space. Finally, we obtain some results on the existence and convergence of tripled fixed point in metric spaces and give illustrative examples of our theorems.
  • Article
    Citation - WoS: 1
    Tripled Fixed Point Theorems in Partially Ordered Metric Spaces
    (Univ Babes-bolyai, 2013) Karapinar, Erdal
    The notion of tripled fixed point is introduced by Berinde and Borcut [1]. In this manuscript, some new tripled fixed point theorems are obtained by using a generalization of the results of Luong and Thuang [11].