Generalized Ulam-Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces

Generalized Ulam-Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces

We establish a generalized Ulam-Hyers stability theorem in a Šerstnev probabilistic normed space (briefly, Šerstnev PN-space) endowed with ΠM. In particular, we introduce the notion of approximate Jensen mapping in PN-spaces and prove that if an approximate Jensen mappin...

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Bibliographic Details
Main Authors: C. Park, H. Majani, M. Eshaghi Gordji, M. B. Ghaemi
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/868193

Internet

http://dx.doi.org/10.1155/2010/868193

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