Stability of Functional Equations in Random Normed Spaces

• Main Authors: Cho, Yeol Je (Author), Rassias, Themistocles M. (Author), Saadati, Reza (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Springer Optimization and Its Applications, 86
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Mathematical optimization.; Functional Analysis.; Optimization.; Partial Differential Equations.

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...

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.