Abstract and Applied Analysis

Probabilistic (Quasi)metric Versions for a Stability Result of Baker

Dorel Miheţ and Claudia Zaharia

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Abstract

By using the fixed point method, we obtain a version of a stability result of Baker in probabilistic metric and quasimetric spaces under triangular norms of Hadžić type. As an application, we prove a theorem regarding the stability of the additive Cauchy functional equation in random normed spaces.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 269701, 10 pages.

Dates
First available in Project Euclid: 7 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1399487770

Digital Object Identifier
doi:10.1155/2012/269701

Mathematical Reviews number (MathSciNet)
MR2999881

Zentralblatt MATH identifier
1259.39022

Citation

Miheţ, Dorel; Zaharia, Claudia. Probabilistic (Quasi)metric Versions for a Stability Result of Baker. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 269701, 10 pages. doi:10.1155/2012/269701. https://projecteuclid.org/euclid.aaa/1399487770


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