Add to ORKG[EN] We give a counterexample to a recent statement in the metric approximation theory and provide a setting where the statement holds.Supported in part by Project MTM2008-05396 and the Universidad Politecnica de Valencia and by Project GV/2010/036. Supported in part by Project MTM2008-03211 and the Universidad Politecnica de Valencia and by Project GV/2010/036Guirao Sánchez, AJ.; Montesinos Santalucia, V. (2011). A note in approximative compactness and continuity of metric projections in Banach spaces. Journal of Convex Analysis. 18(2):397-401. http://hdl.handle.net/10251/7928439740118
Let be a closed bounded convex subset of a real Banach space with as its interior and the Mink...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractThe continuity of the metric projection onto an approximatively compact set in a uniformly c...
AbstractWe introduce the notion of W-approximative (weak) compactness for a nonempty subset of a smo...
AbstractThe continuity of the best approximation projection onto a suitable subspace of a metric spa...
Abstract. We introduce and investigate the weak metric approxima-tion property of Banach spaces whic...
AbstractWe investigate the Lipschitz continuity of the best approximation operator from a Hilbert (B...
AbstractWe investigate the Lipschitz continuity of the best approximation operator from a Hilbert (B...
AbstractIn this paper we are concerned with the continuity of the set-valued mapping whose values ar...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
AbstractWe introduce the notion of W-approximative (weak) compactness for a nonempty subset of a smo...
AbstractWe study the convex approximation property of Banach spaces to provide a unified approach to...
In this paper we study the connection between the metric projection operator PK : B → K, where B is ...
Let be a closed bounded convex subset of a real Banach space with as its interior and the Mink...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractThe continuity of the metric projection onto an approximatively compact set in a uniformly c...
AbstractWe introduce the notion of W-approximative (weak) compactness for a nonempty subset of a smo...
AbstractThe continuity of the best approximation projection onto a suitable subspace of a metric spa...
Abstract. We introduce and investigate the weak metric approxima-tion property of Banach spaces whic...
AbstractWe investigate the Lipschitz continuity of the best approximation operator from a Hilbert (B...
AbstractWe investigate the Lipschitz continuity of the best approximation operator from a Hilbert (B...
AbstractIn this paper we are concerned with the continuity of the set-valued mapping whose values ar...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
AbstractWe introduce the notion of W-approximative (weak) compactness for a nonempty subset of a smo...
AbstractWe study the convex approximation property of Banach spaces to provide a unified approach to...
In this paper we study the connection between the metric projection operator PK : B → K, where B is ...
Let be a closed bounded convex subset of a real Banach space with as its interior and the Mink...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...