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Stability of Functional Equations in Random Normed Spaces

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. Hye...

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Bibliographic Details
Main Authors: Cho, Yeol Je, Rassias, Themistocles M. (Author), Saadati, Reza (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2013, 2013
Edition:1st ed. 2013
Series:Springer Optimization and Its Applications
Subjects:
Functional Analysis
Optimization
Differential Equations
Mathematical Optimization
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • 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

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