Developments in Functional Equations and Related Topics

This book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further understanding at the graduate level for students in mathematics, physics, and engineering.
Key topics covered in this book include:
Quasi means
Approximate isometries
Functional equations in hypergroups
Stability of functional equations
Fischer-Muszély equation
Haar meager sets and Haar null sets
Dynamical systems
Functional equations in probability theory
Stochastic convex ordering
Dhombres functional equation
Nonstandard analysis and Ulam stability

This book is dedicated in memory of Stanilsaw Marcin Ulam, who posed the fundamental problem concerning approximate homomorphisms of groups in 1940; which has provided the stimulus for studies in the stability of functional equations and inequalities.