Browsing by Author "Arian, Asma"

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    Fixed point results for Pata contraction on a metric space with a graph and its application
    (Ankara Üniversitesi Fen Fakültesi, 2019-08-01) Arian, Asma; Ramezani, Maryam; Other; Other
    Let ( X , d ) be a metric space endowed with a graph G such that the set V ( G ) of vertices of G coincides with X ‎. ‎We define the notion of Pata- G -contraction type maps and obtain some fixed point theorems for such mappings‎. ‎This extends and subsumes many recent results which were obtained for other contractive type mappings on a partially ordered metric space‎. ‎As an application‎, ‎we present theorem on the convergence of successive approximations for some linear operators on a Banach space‎.