Inverse Approximation Theorems for . . .

Approximation theorems for fuzzy set multifunctions in Vietoris topology. Physical implications of regularity

n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{P}_{0}(X)$-valued set multifunctions ($X$ being a linear,topological space), in order to obtain Egoroff and Lusin type theorems forset multifunctions in the Vietoris hypertopology. Some mathematicalapplications are established and several physical implications of thema...

Direct and inverse results in variable Hilbert scales

Variable Hilbert scales are an important tool for the recent analysis of inverse problems in Hilbert spaces, as these constitute a way to describe smoothness of objects other than functions on domains. Previous analysis of such classes of Hilbert spaces focused on interpolation properties, which allows us to vary between such spaces. In the context of discretization of inverse problems, first r...

Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems

In this paper we propose and studied a new composite iterative scheme with certain control con-ditions for viscosity approximation for a zero of accretive operator and xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng dened by the new introduced iterative sequence is proved. The main results improve andcomplement the co...

Approximation the fuzzy solution of the non linear fuzzy Volterra integro differential equation using fixed point theorems

1 7 Ju n 20 09 AN EQUIVALENCE BETWEEN INVERSE SUMSET THEOREMS AND INVERSE CONJECTURES FOR THE U 3 NORM

We establish a correspondence between inverse sumset theorems (which can be viewed as classifications of approximate (abelian) groups) and inverse theorems for the Gowers norms (which can be viewed as classifications of approximate poly-nomials). In particular, we show that the inverse sumset theorems of Fre˘ ıman type are equivalent to the known inverse results for the Gowers U 3 norms, and mo...