In this paper we prove finiteness principles for $C^{m}\left( \mathbb{R}^{n}, \mathbb{R}^{D}\right) $-selection, and for $C^{m-1,1}\left( \mathbb{R}^{n}, \mathbb{R}^{D}\right) $-selection, in particular providing a proof for a conjecture of Brudyni-Shvartsman (1994) on Lipschitz selections for the case when the domain is $X = \mathbb{R}^n$
Die Frage, unter welchen Bedingungen stetige Auswahlfunktionen von mengenwertigen Abbildungen existi...
AbstractIn this paper, we present a new continuous selection theorem inH-space which includes the se...
AbstractA new continuous selection theorem is proved which unifies and generalizes some known result...
In this paper we prove finiteness principles for $C^{m}\left( \mathbb{R}^{n}, \mathbb{R}^{D...
In this paper we prove finiteness principles for $C^{m}\left( \mathbb{R}^{n}, \mathbb{R}^{D...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...
We compare a recent selection theorem given by Chistyakov using the notion of modulus of variation, ...
summary:We compare a recent selection theorem given by Chistyakov using the notion of modulus of var...
AbstractLet T be a nonempty set of real numbers, X a metric space with metric d and XT the set of al...
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
The paper is an overview of selected results on weaker forms of classical selection principles of Me...
We establish a "preparatory Sard theorem" for smooth functions with a partially affine structure. By...
Let $R$ be a real closed field and let some o-minimal structure extending $R$ be given. Let $F\colon...
Let $F:[0,T]\times\R^n\mapsto 2^{\R^n}$ be a continuous multifunction with compact, not necessaril...
AbstractWe demonstrate that the classical Michael selection theorem for l.s.c. mappings with a colle...
Die Frage, unter welchen Bedingungen stetige Auswahlfunktionen von mengenwertigen Abbildungen existi...
AbstractIn this paper, we present a new continuous selection theorem inH-space which includes the se...
AbstractA new continuous selection theorem is proved which unifies and generalizes some known result...
In this paper we prove finiteness principles for $C^{m}\left( \mathbb{R}^{n}, \mathbb{R}^{D...
In this paper we prove finiteness principles for $C^{m}\left( \mathbb{R}^{n}, \mathbb{R}^{D...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...
We compare a recent selection theorem given by Chistyakov using the notion of modulus of variation, ...
summary:We compare a recent selection theorem given by Chistyakov using the notion of modulus of var...
AbstractLet T be a nonempty set of real numbers, X a metric space with metric d and XT the set of al...
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
The paper is an overview of selected results on weaker forms of classical selection principles of Me...
We establish a "preparatory Sard theorem" for smooth functions with a partially affine structure. By...
Let $R$ be a real closed field and let some o-minimal structure extending $R$ be given. Let $F\colon...
Let $F:[0,T]\times\R^n\mapsto 2^{\R^n}$ be a continuous multifunction with compact, not necessaril...
AbstractWe demonstrate that the classical Michael selection theorem for l.s.c. mappings with a colle...
Die Frage, unter welchen Bedingungen stetige Auswahlfunktionen von mengenwertigen Abbildungen existi...
AbstractIn this paper, we present a new continuous selection theorem inH-space which includes the se...
AbstractA new continuous selection theorem is proved which unifies and generalizes some known result...