Selections and near-selections in metric linear spaces without local convexity
- Dobrowolski, T.
- van Mill, J.
DOIAbstract
We characterize the AR property in convex subsets of metric linear spaces in terms of certain near-selections
We characterize the AR property in convex subsets of metric linear spaces in terms of certain near-selections
The existence of continuous approximate selections is proved for a class of upper semicontinuous mul...
Convexity is a concept usually developed in vector spaces. However since the seventies of the 20th c...
AbstractReflexive spaces are characterized with the help of metric projections which possess a conti...
AbstractRoberts constructed a linear metric space which contains a compact convex set without any ex...
In this article the author proves local Lipschitz properties of two selections for the space of conv...
In this paper, we show that nonempty closed convex subsets of a metric tree enjoy many properties sh...
AbstractA characterization is given of those proximinal subspaces of a normed linear space whose (se...
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
Abstract. In this paper, we give sufficient conditions for a map with nonconvex values to have a con...
AbstractWe consider topological linear spaces (without local convexity) and their convex subsets. We...
AbstractA near-selection theorem is proven for carriers defined on spaces that are the countable uni...
Equivalent formulations for strictly convex, uniformly convex and locally uniformly convex metric li...
AbstractCharacterizations are given of when the metric projection PM onto a proximal subspace M has ...
AbstractIn this paper, we give a characteristic of abstract convexity structures on topological spac...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...
The existence of continuous approximate selections is proved for a class of upper semicontinuous mul...
Convexity is a concept usually developed in vector spaces. However since the seventies of the 20th c...
AbstractReflexive spaces are characterized with the help of metric projections which possess a conti...
AbstractRoberts constructed a linear metric space which contains a compact convex set without any ex...
In this article the author proves local Lipschitz properties of two selections for the space of conv...
In this paper, we show that nonempty closed convex subsets of a metric tree enjoy many properties sh...
AbstractA characterization is given of those proximinal subspaces of a normed linear space whose (se...
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
Abstract. In this paper, we give sufficient conditions for a map with nonconvex values to have a con...
AbstractWe consider topological linear spaces (without local convexity) and their convex subsets. We...
AbstractA near-selection theorem is proven for carriers defined on spaces that are the countable uni...
Equivalent formulations for strictly convex, uniformly convex and locally uniformly convex metric li...
AbstractCharacterizations are given of when the metric projection PM onto a proximal subspace M has ...
AbstractIn this paper, we give a characteristic of abstract convexity structures on topological spac...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...
The existence of continuous approximate selections is proved for a class of upper semicontinuous mul...
Convexity is a concept usually developed in vector spaces. However since the seventies of the 20th c...
AbstractReflexive spaces are characterized with the help of metric projections which possess a conti...
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