Extension of semi Lipschitz function on quasi-metric spaces
Abstract The aim of this note is to prove an extension theorem for semi-Lipschitz real functions defined on quasi-metric spaces,…
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Extension of starshaped bounded semi-Lipschitz function on a quasi metric linear spaces
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, Extension of starshaped bounded semi-Lipschitz…
Extension of convex semi-Lipschitz functions on quasi-metric linear spaces
Abstract In this paper one shows that a convex semi-Lipschitz functions defined on a convex subset of a quasi-metric linear…
On the extremal semi-Lipschitz function
Abstract The extremal elements of the unit balls of Banach spaces play an important role in the study of the…
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…
On the uniqueness of extension and unique best approximation in the dual of an asymmetric normed linear space
Abstract A well known result of R. R. Phelps (1960) asserts that in order that every linear continuous functional, defined…
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…
On the characterization of generalized nearest point
Abstract AuthorsCostica Mustăţa “Tiberiu Popoviciu” Institute of Numerical Analysis, Cluj-Napoca, Romania Keywords? Paper coordinatesC. Mustăţa, On the characterization of generalized…
On the extension of semi-Lipschitz functions on asymmetric normed spaces
Abstract Extension theorems for semi-Lipschitz functions and some proper- ties of these extensions useful in approximation problems are presented. As…
Best approximation in spaces with asymmetric norm
Abstract In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems…