Editors:
- 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
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 124)
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Table of contents (15 chapters)
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Front Matter
About this book
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
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
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Department of Mathematics, Pedagogical University of Cracow, Kraków,, Poland
Janusz Brzdęk
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Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland
Krzysztof Ciepliński
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Department of Mathematics, National Technical University of Athens, Athens, Greece
Themistocles M. Rassias
Bibliographic Information
Book Title: Developments in Functional Equations and Related Topics
Editors: Janusz Brzdęk, Krzysztof Ciepliński, Themistocles M. Rassias
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-319-61732-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-61731-2Published: 23 August 2017
Softcover ISBN: 978-3-319-87147-9Published: 12 May 2018
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XII, 352
Number of Illustrations: 2 b/w illustrations
Topics: Difference and Functional Equations, Approximations and Expansions, Differential Geometry, Functional Analysis, Probability Theory and Stochastic Processes