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• Published Subscription 4 Oct 2019

  Minimization Theorem and Fixed-Point Theorem in Probabilistic Metric Space

  By Akhilesh Jain, R. S. Chandel, Manoj Sharma, Uday Dolas

  Abstract: This paper is devoted to the study of the basic theory and applications of probabilistic metric spaces (PM-space). In this paper, the topological structure and properties for PM-space are considered. The conditions of metrization and the form of metric functions for PM-spaces, Menger PM-spaces and probabilistic normed linear spaces (PN-space) are given, and the characterizations of various probabilistically bounded sets are presented. As applications, we utilize these results obtained in …

  Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 36–41 Read article →