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.…
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Uniqueness of extension of semi-Lipschitz functions on quasi-metric spaces
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, Uniqueness of extension of semi-Lipschitz…
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,…
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…
Extension and approximation of semi-Lipschitz functions on quasi-metric linear spaces
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesC. Mustăţa, Extension and approximation of…
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…