Interior idempotents and non-representability of groupoids.
Interpolation linéaire et équations fonctionnelles
Intuitionistic fuzzy stability of a quadratic functional equation.
Intuitionistic fuzzy stability of Jensen type mapping.
Invariance identity in the class of generalized quasiarithmetic means
An invariance formula in the class of generalized p-variable quasiarithmetic means is provided. An effective form of the limit of the sequence of iterates of mean-type mappings of this type is given. An application to determining functions which are invariant with respect to generalized quasiarithmetic mean-type mappings is presented.
Invariance in the class of weighted quasi-arithmetic means
Under the assumption of twice continuous differentiability of some of the functions involved we determine all the weighted quasi-arithmetic means M,N,K such that K is (M,N)-invariant, that is, K∘(M,N) = K. Some applications to iteration theory and functional equations are presented.
Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means.
Invariant graphs of functions for the mean-type mappings
Let I be a real interval, J a subinterval of I, p ≥ 2 an integer number, and M1, ... , Mp : Ip → I the continuous means. We consider the problem of invariance of the graphs of functions ϕ : Jp−1 → I with respect to the mean-type mapping M = (M1, ... , Mp).Applying a result on the existence and uniqueness of an M -invariant mean [7], we prove that if the graph of a continuous function ϕ : Jp−1 → I ...
Invariant means, set ideals and separation theorems.
Invariant Measures and Functional Equations
Invariants of a class of transformation groups.
Invariants of a class of transformation groups II.
Invariants of a class of transformation groups II. (Short Communication).
Investigation of the stability via shadowing property.
Involutions and iterates of central dispersions
Involutions of real intervals
This paper shows a simple construction of continuous involutions of real intervals in terms of continuous even functions. We also study smooth involutions defined by symmetric equations. Finally, we review some applications, in particular a characterization of isochronous potentials by means of smooth involutions.
Irreducible Belousov equations on quasigroups
Isometric additive mappings in generalized quasi-Banach spaces.
Isomorphisms and derivations in Lie -algebras.
Isomorphisms and generalized derivations in proper -algebras.