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Stability of functional equations in random normed spaces

Author: Yeol Je Cho; Themistocles M Rassias; Reza Saadati
Publisher: [Place of publication not identified] : [publisher not identified], 2013.
Series: Springer optimization and its applications.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Cho, Yeol Je.
Stability of Functional Equations in Random Normed Spaces.
Dordrecht : Springer, ©2013
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Yeol Je Cho; Themistocles M Rassias; Reza Saadati
ISBN: 9781461484776 1461484774
OCLC Number: 862201351
Description: 1 online resource (xix, 246 pages).
Contents: 1. Preliminaries --
2. Generalized Spaces --
3. Stability of Functional Equations in Random Normed Spaces Under Special t-norms --
4. Stability of Functional Equations in Random Normed Spaces Under Arbitrary t-norms --
5. Stability of Functional Equations in random Normed Spaces via Fixed Point Method --
6. Stability of Functional Equations in Non-Archimedean Random Spaces --
7. Random Stability of Functional Equations Related to Inner Product Spaces --
8. Random Banach Algebras and Stability Results.
Series Title: Springer optimization and its applications.
Responsibility: Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.

Abstract:

This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces.  Read more...

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"The book should interest any professional mathematician whose research is connected with functional equations, especially their stability in random spaces; I also can recommend it for graduate Read more...

 
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