On the selections associated to the metric projection
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian, Romania KeywordsPaper coordinatesC. Mustăţa, On the selections associated to the…
best approximation
Selections associated to the metric projection
Abstract AuthorsStefan Cobzas “Tiberiu Popovicviu” Institute of Numerical Analysis, Romanian Academy, Romania Costica Mustata “Tiberiu Popovicviu” Institute of Numerical Analysis,…
On the metric projection and the quotient mapping
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, On the metric projection and…
Extension of bilinear operators and best approximation in 2-normed space
Abstract AuthorsStefan Cobzas Babes-Bolyai University Costica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy KeywordsPaper coordinatesŞt. Cobzaş, C. Mustăţa,…
Extension of bilinear functionals and best approximation in 2-normed space
Abstract The paper investigates the relations between the extension properties of bounded bilinear functionals and the approximation properties in 2-normed…
Extension of Lipschitz functions and best approximation
Abstract The aim of this paper is to present various extension results for Lipschitz functions and to put in evidence…
Some remarks concerning norm preserving extension and best approximation
Abstract Let \(X,Y\) be two normed spaces, \(X_{1}\) a subspace of \(X\) and \(A:X \rightarrow Y\) a continuous linear operator.…
A Phelps type result for spaces with asymmetric norms
Abstract If \((X,||\cdot|)\) is a linear space with asymmetric norm and \(Y\) is a \(X\), for every \(f\in Y_{+}^{\ast}\) (the…
Extension of bounded linear functionals and best approximation in space with asymmetric norm
Abstract The present paper is concerned with the characterization of the elements of best approximation in a subspace \(Y\) of…
Characterization of ε-nearest points in space with asymmetric seminorm
Abstract In this note we are concerned with the characterization of the elements of \(\varepsilon\)-best approximation (\varepsilon\)-nearest points) in a…