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The Picard Theorem on S-metric spaces
Authors:Nihal Yilmaz ÖZGÜR  Nihal TAŞ
Institution:Department of Mathematics, Balikesir University, 10145 Balikesir, Turkey
Abstract:Recently, the notion of an S-metric space is defined and extensively studied as a generalization of a metric space. In this paper, we define the notion of the S-space and prove its completeness. We obtain a new generalization of the classical “Picard Theorem”.
Keywords:completeness  Picard Theorem  initial value problem  34A12  35F10  54E50  65L05  65L70
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