Superposition of functions in Sobolev spaces of fractional order. A survey
Superposition operator on the space of sequences almost converging to zero
We study the superposition operator f on on the space ac 0 of sequences almost converging to zero. Conditions are derived for which f has a representation of the form f x = a+bx +g x, for all x ∈ ac 0 with a = f 0, b ∈ D(ac 0), g a superposition operator from ℓ∞ into I(ac 0), D(ac 0) = {z: zx ∈ ac 0 for all x ∈ ac 0}, and I(ac 0) the maximal ideal in ac 0. If f is generated by a function f of a real variable, then f is linear. We consider the conditions for which a bounded function f generates f...
Superposition operators and functions of bounded p-variation.
We characterize the set of all functions f of R to itself such that the associated superposition operator Tf: g → f º g maps the class BVp1(R) into itself. Here BVp1(R), 1 ≤ p < ∞, denotes the set of primitives of functions of bounded p-variation, endowed with a suitable norm. It turns out that such an operator is always bounded and sublinear. Also, consequences for the boundedness of superposition operators defined on Besov spaces Bp,qs are discussed.
Superposition operators on .
Super-relaxed -proximal point algorithms, relaxed -proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions.
Support results via exceptional sets in Banach spaces
Sur et sous-solutions dans les équations semi-linéaires de type elliptique avec conditions aux limites non linéaires
Sur le théorème de point fixe de Brunel et le théorème de Choquet-Deny
Sur l'existence des solutions d'une équation intégro-différentielle
Sur l'interpolation des opérateurs maximaux monotones.
Sur un problème parabolique-elliptique
Sur un problème parabolique-elliptique
We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like where the function is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in t on v<1, we use nonlinear semigroup theory.
Sur une certaine alternative non-linéaire en analyse convexe
Sur une équation quasilinéaire d'ordre 2 non elliptique
Surjectivity and fixed point theorems (Preliminary communication)
Surjectivity of an operator
Surjectivity Results for Non-linear Mappings from a Banach Space to It's Dual.
Surjectivity theorems for multi-valued mappings of accretive type
Suzuki type fuzzy -contractive mappings and fixed points in fuzzy metric spaces
In this paper, we propose the concept of Suzuki type fuzzy -contractive mappings, which is a generalization of Fuzzy -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in -complete as well as -complete fuzzy metric spaces. A comprehensive set of examples...
Symmetry operators of a Hartree-type equation with quadratic potential.