On the extension of semi-Lipschitz functions on asymmetric normed spaces
Abstract AuthorsCostică Mustăţa “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesC. Mustăţa, On the extension of…
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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…
Best uniform approximation of a bounded function by extensions of semi-Lipschitz functions
Abstract In this note we consider the problem of best uniform approximation of a real valued bounded function \(f\) defined…
On a theorem of Baire about lower semi-continuous functions
Abstract A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by…
Extensions of semi-Hölder real valued functions on a quasi-metric space
Abstract In this note, the semi-Holder real valued functions on a quasi-metric (asymmetric metric) space are defined. An extension theorem…
Sandwich theorems for radiant functions
Abstract We show that between two graphs, one of a radiant function and the other of a coradiant, both defined…
A fixed point theorem of Maia type in syntopogenous spaces
Abstract AuthorsRadu Precup Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania Keywords? Paper coordinatesR. Precup, A fixed point theorem of Maia…