On the extension of semi-Lipschitz functions on asymmetric normed spaces5 months agoAbstract AuthorsCostică Mustăţa “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesC. Mustăţa, On the extension of…
Best approximation in spaces with asymmetric norm5 months agoAbstract In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems…
Extensions of semi-Hölder real valued functions on a quasi-metric space5 months agoAbstract In this note, the semi-Holder real valued functions on a quasi-metric (asymmetric metric) space are defined. An extension theorem…
On the existence and uniqueness of extensions of semi-Holder real-valued functions5 months agoAbstract Let \((X,d)\) be a quasi-metric space, \(y_{0}\in X\) a fixed element and \(Y\) a subset of \(X\) such that…
On the approximation of the global extremum of a semi-Lipschitz function3 years agoAbstractIn this paper one obtains a sequential procedure for determining the global extremum of a semi-Lipschitz real-valued function defined on…