Functional Equations - Results and Advances

Preface. Part I: Classical Functional Equations and Inequalities. On some trigonometric functional inequalities; R. Badora, R. Ger. On the continuity of additive-like functions and Jensen convex functions which are Borel on a sphere; K. Baron. Note on a functional-differential inequality; B. Choczewski. A characterization of stationary sets for the class of Jensen convex functions; R. Ger, K. Nikodem. On the characterization of Weierstrass's sigma function; A. Járai, W. Sander. On a Mikusinski-Jensen functional equation; K. Lajkó, Z. Páles. Part II: Stability of Functional Equations. Stability of the multiplicative Cauchy equation in ordered fields; Z. Boros. On approximately monomial functions; A. Gilányi. Les opérateurs de Hyers; Z. Moszner. Geometrical aspects of stability; J. Tabor, J. Tabor. Part III: Functional Equations in One Variable and Iteration Theory. On semi-conjugacy equation for homeomorphisms of the circle; K. Cieplinski, M. Cezary Zdun. A survey of results and open problems on the Schilling equation; R. Girgensohn. Properties of an operator acting on the space of bounded real functions and certain subspaces; H.-H. Kairies. Part IV: Composite Functional Equations and Theory of Means. A Matkowski-Sutô type problem for quasi-arithmetic means of order alpha; Z. Daróczy, Z. Páles. An extension theorem for conjugate arithmetic means; G. Hajdu. Homogeneous Cauchy mean values; L. Losonczi. On invariant generalized Beckenbach-Gini means; J. Matkowski. Final part of the answer to a Hilbert's question; M. Sablik. Part V: Functional Equations on Algebraic Structures. A generalization of d'Alembert'sfunctional equation; T.M.K. Davison. About a remarkable functional equation on some restricted domains; F. Skof. On discrete spectral synthesis; L. Székelyhidi. Hyers theorem and the cocycle property; J. Tabor. Part VI: Functional Equations in Functional Analysis. Mappings whose derivatives are isometries; J.A. Baker. Localizable functionals; B. Ebanks. Jordan maps on standard operator algebras; L. Molnár. Part VII: Bisymmetry and Associativity Type Equations on Quasigroups. On the functional equation S1(x, y) = S2(x, T(N(x),y)); C. Alsina, E. Trillas. Generalized associativity on rectangular quasigroups; A. Krapež. The aggregation equation: solutions with non intersecting partial functions; M. Taylor.