Table of Contents

I. Classical Functional Equations and Inequalities.- On some trigonometric functional inequalities.- On the continuity of additive—like functions and Jensen convex functions which are Borel on a sphere.- Note on a functional—differential inequality.- A characterization of stationary sets for the class of Jensen convex functions.- On the characterization of Weierstrass’s sigma function.- On a Mikusiński—Jensen functional equation.- II. Stability of Functional Equations.- Stability of the multiplicative Cauchy equation in ordered fields.- On approximately monomial functions.- Les opérateurs de Hyers.- Geometrical aspects of stability.- III. Functional Equations in One Variable and Iteration Theory.- On semi-conjugacy equation for homeomorphisms of the circle.- A survey of results and open problems on the Schilling equation.- Properties of an operator acting on the space of bounded real functions and certain subspaces.- IV. Composite Functional Equations and Theory of Means.- A Matkowski-Sutô type problem for quasi-arithmetic means of order—.- An extension theorem for conjugate arithmetic means.- Homogeneous Cauchy mean values.- On invariant generalized Beckenbach-Gini means.- Final part of the answer to a Hilbert’s question.- V. Functional Equations on Algebraic Structures.- A generalization of d’Alembert’s functional equation.- About a remarkable functional equation on some restricted domains.- On discrete spectral synthesis.- Hyers theorem and the cocycle property.- VI. Functional Equations in Functional Analysis.- Mappings whose derivatives are isometries.- Localizable functionals.- Jordan maps on standard operator algebras.- VII. Bisymmetry and Associativity Type Equations on Quasigroups.- On the functional equation S1(x, y) = S2(x, T(N(x), y)).-Generalized associativity on rectangular quasigroups.- The aggregation equation: solutions with non intersecting partial functions.