Browsing by Author "Vaezpour, S. Mansour"

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    Article
    Citation - WoS: 43
    A Common Fixed Point Theorem for Cyclic Operators on Partial Metric Spaces
    (Univ Nis, Fac Sci Math, 2012) Karapinar, Erdal; Karapınar, Erdal; Shobkolaei, Nabi; Sedghi, Shaban; Vaezpour, S. Mansour; Karapınar, Erdal; Mathematics; Mathematics
    In this paper, we prove a common fixed point theorem for two self-mappings satisfying certain conditions over the class of partial metric spaces. In particular, the main theorem of this manuscript extends some well-known fixed point theorems in the literature on this topic.
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    Article
    Citation - WoS: 13
    Citation - Scopus: 22
    Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in cat(0) Spaces
    (Hindawi Ltd, 2014) Karapinar, Erdal; Salahifard, Hero; Vaezpour, S. Mansour
    We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergence theorems for modified Ishikawa iterative process in the framework of CAT(0) spaces. Our results generalize, extend, and unify the corresponding results on the topic in the literature.