In this note we are concerned with the characterization of the elements of \(\varepsilon\)-best approximation (\(\varepsilon\)-nearest points) in a subspace \(Y\) of space \(X\) with asymmetric seminorm. For this we use functionals in the asymmetric dual \(X^{b}\) defined and studied in some recent papers [1], [2], [5]
Given an asymmetric normed linear space (X, q), we construct and study its dual space (X*, q*). In p...
summary:Some existence results on best approximation are proved without starshaped subset and affine...
In this thesis we consider the problem of simultaneously approximating elements of a set B C X by a ...
AbstractIn this paper we analyze the existence of points of a subset S of a linear space X where the...
In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on ...
The purpose of this paper is to introduce and discuss the concept of best approximation and best coa...
In this paper, we prove some results concerning the existence of invariant best approximation in Ban...
AbstractThe present paper deals with several characterization theorems for best approximation in nor...
summary:We study best approximation in $p$-normed spaces via a general common fixed point principle....
Some new characterization for the best approximants from linear subspaces in normed linear spaces in...
Working in Bishop’s constructive mathematics, we first show that minima can be defined as best ...
Abstract. In this paper we generalize and extend Brosowski-Meinardus type results on invariant point...
Given an Orlicz space Lφ, we give very relaxed sufficient conditions on φ to ensure that there exist...
In this paper we prove that for two equivalent norms such that $X$ becomes an STM and LLUM space the...
We consider the problem of finding a best approximation pair, i.e., two points which achieve the min...
Given an asymmetric normed linear space (X, q), we construct and study its dual space (X*, q*). In p...
summary:Some existence results on best approximation are proved without starshaped subset and affine...
In this thesis we consider the problem of simultaneously approximating elements of a set B C X by a ...
AbstractIn this paper we analyze the existence of points of a subset S of a linear space X where the...
In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on ...
The purpose of this paper is to introduce and discuss the concept of best approximation and best coa...
In this paper, we prove some results concerning the existence of invariant best approximation in Ban...
AbstractThe present paper deals with several characterization theorems for best approximation in nor...
summary:We study best approximation in $p$-normed spaces via a general common fixed point principle....
Some new characterization for the best approximants from linear subspaces in normed linear spaces in...
Working in Bishop’s constructive mathematics, we first show that minima can be defined as best ...
Abstract. In this paper we generalize and extend Brosowski-Meinardus type results on invariant point...
Given an Orlicz space Lφ, we give very relaxed sufficient conditions on φ to ensure that there exist...
In this paper we prove that for two equivalent norms such that $X$ becomes an STM and LLUM space the...
We consider the problem of finding a best approximation pair, i.e., two points which achieve the min...
Given an asymmetric normed linear space (X, q), we construct and study its dual space (X*, q*). In p...
summary:Some existence results on best approximation are proved without starshaped subset and affine...
In this thesis we consider the problem of simultaneously approximating elements of a set B C X by a ...