Functional Equations in Mathematical Analysis (eBook)

Preface.- 1. Stability properties of some functional equations (R. Badora).- 2. Note on superstability of Mikusiński’s functional equation (B. Batko).- 3. A general fixed point method for the stability of Cauchy functional equation (L. Cădariu, V. Radu).- 4. Orthogonality preserving property and its Ulam stability (J. Chmieliński).- 5. On the Hyers-Ulam stability of functional equations with respect to bounded distributions (J.-U. Chung).- 6. Stability of multi-Jensen mappings in non-Archimedean normed spaces (K. Ciepliński).- 7. On stability of the equation of homogeneous functions on topological spaces (S. Czerwik).- 8. Hyers-Ulam stability of the quadratic functional equation (E. Elhoucien, M. Youssef, T. M. Rassias).- 9. Intuitionistic fuzzy approximately additive mappings (M. Eshaghi-Gordji, H. Khodaei, H. Baghani, M. Ramezani).- 10. Stability of the pexiderized Cauchy functional equation in non-Archimedean spaces (G. Z. Eskandani, P. Găvruţa).- 11. Generalized Hyers-Ulam stability for general quadratic functional equation in quasi-Banach spaces (J. Gao).- 12. Ulam stability problem for frames (L. Găvruţa, P. Găvruţa).- 13. Generalized Hyers-Ulam stability of a quadratic functional equation (K.-W. Jun, H-M. Kim, J. Son).- 14. On the Hyers-Ulam-Rassias stability of the bi-Pexider functional equation (K.-W. Jun, Y.-H. Lee).- 15. Approximately midconvex functions (K. Misztal, J. Tabor, J. Tabor).- 16. The Hyers-Ulam and Ger type stabilities of the first order linear differential equations (T. Miura, G. Hirasawa).- 17. On the Butler-Rassias functional equation and its generalized Hyers-Ulam stability (T. Miura, G. Hirasawa, T. Hayata).- 18. A note on the stability of an integral equation (T. Miura, G. Hirasawa, S.-E. Takahasi, T. Hayata).- 19. On the stability of polynomial equations (A. Najati, T. M. Rassias).- 20. Isomorphisms and derivations in proper JCQ*-triples (C. Park, M. Eshaghi-Gordji).- 21. Fuzzy stability of an additive-quartic functional equation: a fixed point approach (C. Park, T.M. Rassias).- 22. Selections of set-valued maps satisfying functional inclusions on square-symmetric grupoids (D. Popa).- 23. On stability of isometries in Banach spaces (V.Y. Protasov).- 24. Ulam stability of the operatorial equations (I.A. Rus).- 25. Stability of the quadratic-cubic functional equation in quasi-Banach spaces (Z. Wang, W. Zhang).- 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 (Z Changjian, W.-S. Cheung).- 28. Ternary semigroups and ternary algebras (A. Chronowski).- 29. Popoviciu type functional equations on groups (M. Chudziak).- 30. Norm and numerical radius inequalities for two linear operators in Hillbert spaces: a survey of recent results (S.S. Dragomir).- 31. Cauchy’s functional equation and nowhere continuous/everywhere dense Costas bijections in Euclidean spaces (K. Drakakis).- 32. On solutions of some generalizations of the Gołąb-Schinzel equation (E. Jabłońska).- 33. One-parameter groups of formal power series of one indeterminate (W. Jabłoński).- 34. On some problems concerning a sum type operator (H.H. Kairies).- 35. Priors on the space of unimodal probability measures (G. Kouvaras, G. Kokolakis).- 36. Generalized weighted arithmetic means (J. Matkowski).- 37. On means which are quasi-arithmetic and of the Beckenbach-Gini type (J. Matkowski).- 38. Scalar Riemann-Hillbert problem for multiply connected domains (V.V. Mityushev).- 39. Hodge theory for Riemannian solenoids (V. Muñoz, R.P. Marco).- 40. On solutions of a generalization of the Gołąb-Schinzel functional equation (A. Mureńko).- 41. On functional equation containing an indexed family of unknown mappings (P. Nath, D.K. Singh).- 42. Two-step iterative method for nonconvex bifunction variational inequalities (M.A. Noor, K.I. Noor, E. Al-Said).- 43. On a Sincov type functional equation (P. K. Sahoo).- 44. Invariance in some families of means (G. Toader, I. Costin, S. Toader).- 45. On a Hillbert-type integral inequality (B. Yang).- 46. An extension of Hardy-Hillbert’s inequality (B. Yang).- 47. A relation to Hillbert’s integral inequality and a basic Hillbert-type inequality (B. Yang, T.M. Rassias).