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Theory of Approximate Functional Equations

Madjid Eshaghi Gordji and Sadegh Abbaszadeh
Publisher: 
Academic Press
Publication Date: 
2016
Number of Pages: 
142
Format: 
Hardcover
Price: 
74.95
ISBN: 
9780128039205
Category: 
Monograph
We do not plan to review this book.
  • 1: Introduction
    • Abstract
  • 2: Approximate Cauchy functional equations and completeness
    • Abstract
    • 2.1 Theorem of Hyers
    • 2.2 Theorem of Themistocles M. Rassias
    • 2.3 Completeness of normed spaces
  • 3: Stability of mixed type functional equations
    • Abstract
    • 3.1 Binary mixtures of functional equations
    • 3.2 Ternary mixtures of functional equations
    • 3.3 Mixed foursome of functional equations
  • 4: Stability of functional equations in Banach algebras
    • Abstract
    • 4.1 Approximate homomorphisms and derivations in ordinary Banach algebras
    • 4.2 Approximate homomorphisms and derivations in C*-algebras
    • 4.3 Stability problem on C*-ternary algebras
    • 4.4 General solutions of some functional equations
    • 4.5 Some open problems
  • 5: Stability of functional equations in inner product spaces
    • Abstract
    • 5.1 Introduction
    • 5.2 Orthogonal derivations in orthogonality Banach algebras
    • 5.3 Some open problems
  • 6: Amenability of groups (semigroups) and the stability of functional equations
    • Abstract
    • 6.1 Introduction
    • 6.2 The stability of homomorphisms and amenability
    • 6.3 Some open problems
  • Bibliography
  • Index