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…
Approximation Theory
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…
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…
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 AuthorsCostică Mustăţa “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsSpaces with asymmetric seminorm; semi-Lipschitz function; extension and…
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…
On the converses of the reduction principle in inner product spaces
Abstract Let \(H\) be an inner product space, \(X\) a complete subspace of \(H\), and \(Y\) a closed subspace of…
Best uniform approximation of semi-Lipschitz function by extension
Abstract In this paper we consider the problem of best uniform approximation of a real valued semi-Lipschitz function \(F\) defined…
Extension and approximation of semi-Lipschitz functions
Abstract AuthorsCostică Mustăţa Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesC. Mustăţa, Extension and approximation of…