Developments in Functional Equations and Related Topics
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Beschreibung
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 meansApproximate isometriesFunctional equations in hypergroupsStability of functional equationsFischer-Muszély equationHaar meager sets and Haar null setsDynamical systemsFunctional equations in probability theoryStochastic convex orderingDhombres functional equationNonstandard analysis and Ulam stabilityThis book is dedicated in memory of Staniłsaw 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.
Unique reference for functional equations, inequalities, and Ulam’s type stability
Presents current developments in select topics in functional equations and inequalities
Maximizes reader insights into a variety of methods and techniques and provides detailed examples to further graduate level accessibility
Unique reference for functional equations, inequalities, and Ulam’s type stability Presents current developments in select topics in functional equations and inequalities Maximizes reader insights into a variety of methods and techniques and provides detailed examples to further graduate level accessibility Includes supplementary material: sn.pub/extras
Autor*in
Janusz Brzdęk
Themen in »Developments in Functional Equations and Related Topics«
set-valued functional equations K-metric spaces Perov type fixed point theorems Haar meager sets linear functional equations inequalities in a single variable Ulam’s stability of linear operators stability of nearisometries Isometric approximation indicator plurality function ring of formal power series Fischer-Muszély additivity dynamical system Haar null sets Homomorphisms from Functional Equations