Table of contents

  1. Front Matter
    Pages i-xii
  2. Shoshana Abramovich
    Pages 1-15
  3. Anna Bahyrycz
    Pages 25-40
  4. Roman Ger, Maciej Sablik
    Pages 107-147
  5. Adam J. Ostaszewski
    Pages 171-213
  6. Jaroslav Smítal, Marta Štefánková
    Pages 297-303

About this book

Introduction

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 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.

Keywords

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 stochastic convex ordering theorems Dhombres functional equation stability problems on hypergroups compact-open topology Stability of systems

Editors and affiliations

  • Janusz Brzdęk
    • 1
  • Krzysztof Ciepliński
    • 2
  • Themistocles M. Rassias
    • 3
  1. 1.Department of MathematicsPedagogical University of CracowKraków,Poland
  2. 2.Faculty of Applied MathematicsAGH University of Science and TechnologyKrakówPoland
  3. 3.Department of MathematicsNational Technical University of AthensAthensGreece

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-61732-9
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-61731-2
  • Online ISBN 978-3-319-61732-9
  • Series Print ISSN 1931-6828
  • Series Online ISSN 1931-6836
  • Buy this book on publisher's site