Rassias, Themistocles M.

Functional Equations in Mathematical Analysis

Rassias, Themistocles M. - Functional Equations in Mathematical Analysis, ebook


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Table of contents

1. Stability Properties of Some Functional Equations
Roman Badora

2. Note on Superstability of Mikusiński’s Functional Equation
Bogdan Batko

3. A General Fixed Point Method for the Stability of Cauchy Functional Equation
Liviu Cădariu, Viorel Radu

4. Orthogonality Preserving Property and its Ulam Stability
Jacek Chmieliński

5. On the Hyers–Ulam Stability of Functional Equations with Respect to Bounded Distributions
Jae-Young Chung

6. Stability of Multi-Jensen Mappings in Non-Archimedean Normed Spaces
Krzysztof Ciepliński

7. On Stability of the Equation of Homogeneous Functions on Topological Spaces
Stefan Czerwik

8. Hyers–Ulam Stability of the Quadratic Functional Equation
Elhoucien Elqorachi, Youssef Manar, Themistocles M. Rassias

9. Intuitionistic Fuzzy Approximately Additive Mappings
M. Eshaghi-Gordji, H. Khodaei, H. Baghani, M. Ramezani

10. Generalized Hyers–Ulam Stability for General Quadratic Functional Equation in Quasi-Banach Spaces
Jinmei Gao

11. Ulam Stability Problem for Frames
Laura Găvruţa, Paşc Găvruţa

12. Generalized Hyers–Ulam Stability of a Quadratic Functional Equation
Kil-Woung Jun, Hark-Mahn Kim, Jiae Son

13. On the Hyers–Ulam–Rassias Stability of the Bi-Pexider Functional Equation
Kil-Woung Jun, Yang-Hi Lee

14. Approximately Midconvex Functions
Krzysztof Misztal, Jacek Tabor, Józef Tabor

15. The Hyers–Ulam and Ger Type Stabilities of the First Order Linear Differential Equations
Takeshi Miura, Go Hirasawa

16. On the Butler–Rassias Functional Equation and its Generalized Hyers–Ulam Stability
Takeshi Miura, Go Hirasawa, Takahiro Hayata

17. A Note on the Stability of an Integral Equation
Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi, Takahiro Hayata

18. On the Stability of Polynomial Equations
Abbas Najati, Themistocles M. Rassias

19. Isomorphisms and Derivations in Proper JCQ*-Triples
Choonkil Park, Madjid Eshaghi-Gordji

20. Fuzzy Stability of an Additive-Quartic Functional Equation: A Fixed Point Approach
Choonkil Park, Themistocles M. Rassias

21. Selections of Set-Valued Maps Satisfying Functional Inclusions on Square-Symmetric Grupoids
Dorian Popa

22. On Stability of Isometries in Banach Spaces
Vladimir Yu. Protasov

23. Ulam Stability of the Operatorial Equations
Ioan A. Rus

24. Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces
G. Zamani Eskandani, Paşc Găvruţa

25. Stability of the Quadratic–Cubic Functional Equation in Quasi–Banach Spaces
Wanxiong Zhang, Zhihua Wang

26. μ-Trigonometric Functional Equations and Hyers–Ulam Stability Problem in Hypergroups
D. Zeglami, S. Kabbaj, A. Charifi, A. Roukbi

27. On Multivariate Ostrowski Type Inequalities
Chang-Jian Zhao, Wing-Sum Cheung

28. Ternary Semigroups and Ternary Algebras
Antoni Chronowski

29. Popoviciu Type Functional Equations on Groups
Małgorzata Chudziak

30. Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces: A Survey of Recent Results
Sever S. Dragomir

31. Cauchy’s Functional Equation and Nowhere Continuous /Everywhere Dense Costas Bijections in Euclidean Spaces
Konstantinos Drakakis

32. On Solutions of Some Generalizations of the Goła̧b–Schinzel Equation
Eliza Jabłońska

33. One-parameter Groups of Formal Power Series of One Indeterminate
Wojciech Jabłoński

34. On Some Problems Concerning a Sum Type Operator
Hans-Heinrich Kairies

35. Priors on the Space of Unimodal Probability Measures
George Kouvaras, George Kokolakis

36. Generalized Weighted Arithmetic Means
Janusz Matkowski

37. On Means Which are Quasi-Arithmetic and of the Beckenbach–Gini Type
Janusz Matkowski

38. Scalar Riemann–Hilbert Problem for Multiply Connected Domains
Vladimir V. Mityushev

39. Hodge Theory for Riemannian Solenoids
Vicente Muñoz, Ricardo Pérez Marco

40. On Solutions of a Generalization of the Goła̧b–Schinzel Functional Equation
Anna Mureńko

41. On a Functional Equation Containing an Indexed Family of Unknown Mappings
Prem Nath, Dhiraj Kumar Singh

42. Two-Step Iterative Method for Nonconvex Bifunction Variational Inequalities
Muhammad Aslam Noor, Khlaida Inayat Noor, Eisa Al-Said

43. On a Sincov Type Functional Equation
Prasanna K. Sahoo

44. Invariance in Some Families of Means
Gheorghe Toader, Iulia Costin, Silvia Toader

45. On a Hilbert-Type Integral Inequality
Bicheng Yang

46. An Extension of Hardy–Hilbert’s Inequality
Bicheng Yang

47. A Relation to Hilbert’s Integral Inequality and a Basic Hilbert-Type Inequality
Bicheng Yang, Themistocles M. Rassias

Keywords: Mathematics, Difference and Functional Equations, Functional Analysis, Special Functions

Publication year
Springer Optimization and Its Applications
Page amount
17 pages
Natural Sciences

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