Remarks on invariant subspaces and Lp-solutions of the Schrödinger evolution equation.
Remarks on Lipschitzian mappings and some fixed point theorems.
Remarks on locally q-contraction operators
Remarks on monotone operators
Remarks on nonlinear operators and functionals
Remarks on recent fixed point theorems.
Remarks on Set-Contractions and Condensing Maps.
Remarks on some properties in the geometric theory of Banach spaces
The aim of this paper is to derive some relationships between the concepts of the property of strong introduced recently by Hong-Kun Xu and the so-called characteristic of near convexity defined by Goebel and Sȩkowski. Particularly we provide very simple proof of a result obtained by Hong-Kun Xu.
Remarks on subdifferentials of convex functionals
Remarks on the existence and decay of the nonlinear beam equation.
Remarks on the Istratescu measure of noncompactness.
In this paper we give estimations of Istratescu measure of noncompactness I(X) of a set X C lp(E1,...,En) in terms of measures I(Xj) (j=1,...,n) of projections Xj of X on Ej. Also a converse problem of finding a set X for which the measure I(X) satisfies the estimations under consideration is considered.
Remarks on weakly KKM maps in abstract convex spaces.
Remarks to weakly continuous inverse operators and an application in hyperelasticity
Remarques sur le calcul symbolique dans certains espaces de Besov à valeurs vectorielles
Dans ce travail on s’intéresse aux opérateurs de composition sur certains espaces de Besov et de Lizorkin-Triebel à valeurs dans . Dans le but de caractériser les fonctions qui opèrent, on établit que la condition de Lipschitz, locale ou globale suivant que l’espace ou se plonge ou non dans , est nécessaire pour , et que l’appartenance locale au même espace l’est aussi pour . Nous étudions enfin la régularité de l’opérateur .
Renormalization contracts on nested fractals.
Renormings of c 0 and the minimal displacement problem
The aim of this paper is to show that for every Banach space (X, || · ||) containing asymptotically isometric copy of the space c0 there is a bounded, closed and convex set C ⊂ X with the Chebyshev radius r(C) = 1 such that for every k ≥ 1 there exists a k-contractive mapping T : C → C with [...] for any x ∊ C.
Representation of multilinear operators on C(K, X) spaces.
We present a Riesz type representation theorem for multilinear operators defined on the product of C(K,X) spaces with values in a Banach space. In order to do this we make a brief exposition of the theory of operator valued polymeasures.
Representation of the Hausdorff measure of noncompactness in special Banach spaces
Resolution of a fixed point problem by an incremental method and application in nonlinear elasticity
Resolvents and selections of accretive mappings in Banach spaces