2 publications

• 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 →

• Published Subscription 27 Aug 2019

  A Note on Fixed-Point Theory

  By Akhilesh Jain, R. S. Chandel, Rajesh Tokse, Uday Dolas

  Abstract: In this paper, we narrate in brief the origin and step-by-step development of the fixed-point theory which finds its primary applications in functional analysis. It is a sub-branch of the functional analytic theory in which geometric conditions on the mappings and/or underlying spaces play a crucial role. It is also a major branch of nonlinear functional analysis with close ties to Banach space geometry. In this paper, our main focus …

  Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 12–19 Read article →