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Extension of contractive maps in the Menger probabilistic metric space
Authors:Abdolrahman Razani  Kaveh Fouladgar  
Institution:

aDepartment of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34194-288 Qazvin, Iran

bStanford University, Mathematics Building 380, 450 Serra Mall, Stanford, CA 94305-2125, USA

Abstract:In this article, the topological properties of the Menger probabilistic metric spaces and the mappings between these spaces are studied. In addition, contractive and k-contractive mappings are introduced. As an application, a new fixed point theorem in a chainable Menger probabilistic metric space is proved.
Keywords:
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