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Functional equations in mathematical analysis

Author: Themistocles M Rassias; Janusz Brzdȩk
Publisher: New York : Springer, ©2012.
Series: Springer optimization and its applications, v. 52.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This book presents recent recent results in the Ulam stability problem, which was first posed in 1941 and which remains an expanding area of research for various classes of equations. The text offers  Read more...

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Document Type: Book
All Authors / Contributors: Themistocles M Rassias; Janusz Brzdȩk
ISBN: 9781461400547 1461400546 9781461400554 1461400554 9781493951406 1493951408
OCLC Number: 733247291
Description: xvii, 748 pages : illustrations ; 24 cm.
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 and 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, and Themistocles M. Rassias --
9. Intuitionistic fuzzy approximately additive mappings / M. Eshaghi-Gordji, H. Khodaei, H. Baghani, and 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 --
12. Generalized Hyers-Ulam stability of a quadratic functional equation / Kil-Woung Jun, Hark-Mahn Kim, and Jiae Son --
13. On the Hyers-Ulam stability of the bi-pexider functional equation / Kil-Woung Jun and Yang-Hi Lee --
14. Approximately midconvex functions / Krzysztof Misztal, Jacek Tabor, and Józef Tabor --
15. The Hyers-Ulam and ger type stabilities of the first order linear differential equations / Takeshi Miura and Go Hirasawa --
16. On the Butler-Rassias functional equation and its generalized Hyers-Ulam stability / Takeshi Miura, Go Hirasawa, and 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 polynominal equations / Abbas Najati and Themistocles M. Rassias --
19. Isomorphisms and derivations in proper JCQ*-triples / Choonkil Park and Madjid Eshaghi-Gordji --
20. Fuzzy stability of an additive-Quartic functional equation: a fixed point approach / Choonkil Park and Themistocles M. Rassias --
21. Selections of set-valued maps statisfying functional inclusions on square-symmetric grupoids / Dorian Popa --
22. On stability of isometries in banach spaces / Vladimir Yu. Protasov --
23. Ulam stability of the operational equations / Ioan A. Rus --
24. Stability of the pexiderized Cauchy functional equation in non-archimedean spaces / G. Zamani Eskandani and Paşc Găvruţa --
25. Stability of the quadratic-cubic functional equation in quasi-Banach spaces / Wanxiong Zhang and Zhihua Wang --
26. [mu]-Trigonometric functional equations and Hyers-Ulam stability problem in hypergroups / D.oz and Ricardo Pé Zeglami, S. Kabbaj, A. Charifi, and A. Roukbi --
27. On multivariate Ostrowski type inequalities / Chang-Jian Zhao and Wing-Sum Cheung --
28. Ternary semigroups and ternary algebras / Antoni Chronowski --
29. Popoviciu type functional equations on groups / Małgorzata Chudziak --
30. Norm and humerical radius inequalities for two linear operators in Hilbert spaces: a survey of recent reults / 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 and George Kokolakis --
36. Generalized weighted arithmetic means / Janusz Matkowski --
37. On means which are quasi-arithmetic and of the Beckenback-Gini type / Janusz Matkowski --
38. Scala Riemann-Hilbert problem for multiply connected domains / Vladimir V. Mityushev --
39. Hodge theory for Riemannian solenoids / Vicente Muñoz and Richardo Pérez Maraco --
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 and Dhiraj Kumar Singh --
42. Two-step iterative method for nonconvex bifunction variational inequalities / Muhammad Aslam Noor, Khlaida Inayat Noor, and Eisa Al-Said --
43. On a Sincov type functional equation / Prasanna K. Sahoo --
44. Invariance in some families of means / Gheorghe Toader, Iulia Costin, and 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 and Themistocles M. Rassias --
Erratum.
Series Title: Springer optimization and its applications, v. 52.
Responsibility: Themistocles M. Rassias, Janusz Brzdȩk, editors.

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