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…
asymmetric norm
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…
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…
On the existence and uniqueness of extensions of semi-Holder real-valued functions
Abstract 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 function
AbstractIn this paper one obtains a sequential procedure for determining the global extremum of a semi-Lipschitz real-valued function defined on…