A common fixed point for operators in probabilistic normed spaces

M.B. Ghaemi, Bernardo Lafuerza-Guillen and A. Razani

Chaos, Solitons & Fractals, 2009, vol. 40, issue 3, 1361-1366

Abstract: Probabilistic Metric spaces was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [Alsina C, Schweizer B, Sklar A. On the definition of a probabilistic normed spaces. Aequationes Math 1993;46:91–8]. Here, we consider the equicontinuity of a class of linear operators in probabilistic normed spaces and finally, a common fixed point theorem is proved. Application to quantum Mechanic is considered.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:3:p:1361-1366

DOI: 10.1016/j.chaos.2007.09.016

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