Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach.
Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces.
Generalized inequalities for indefinite forms.
Generalized Jensen's equations in Banach modules over a unital -algebra.
Generalized midconvexity
There are many types of midconvexities, for example Jensen convexity, t-convexity, (s,t)-convexity. We provide a uniform framework for all the above mentioned midconvexities by considering a generalized middle-point map on an abstract space X. We show that we can define and study the basic convexity properties in this setting.
Generalized orthogonal stability of some functional equations.
Generalized sine equations, I.
Generalized sine equations, I. (Summary).
Generalized sine equations, II.
Generalized sine equations, II. (Summary).
Generalized sine equations, III.
Generalized stability of -ternary quadratic mappings.
Generalized Ulam-Hyers stability of Jensen functional equation in Šerstnev PN spaces.
Generalizing the arithmetic geometric mean - a hapless computer experiment.
Generating solutions of some Cauchy and cosine functional equations.
Generic properties of nonlinear functional equations.
Generic properties of nonlinear functional equations. (Short Communication).
Generic properties of some iterative functional equations
Geometric characteristics for convergence and asymptotics of successive approximations of equations with smooth operators
We discuss the problem of characterizing the possible asymptotic behaviour of the iterates of a sufficiently smooth nonlinear operator acting in a Banach space in small neighbourhoods of a fixed point. It turns out that under natural conditions, for the most part of initial approximations these iterates tend to "lie down" along a finite-dimensional subspace generated by the leading (peripherical) eigensubspaces of the Fréchet derivative at the fixed point and moreover the asymptotic behaviour of...
Geometrical convexity and generalizations of the Bohr-Mollerup theorem on the gamma function.