Abstract. By virtue of convexification techniques, we study best approximations to a closed set C in a Hilbert space as well as perturbation conditions relative to C and a nonlinear inequality system. Some results on equivalence of the best approximation and the basic constraint qualification are established
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
In this paper, we prove some results concerning the existence of invariant best approximation in Ban...
AbstractIn this paper new versions of solvability theorems are given for general inequality systems ...
Abstract. Several fundamental concepts such as the basic constraint qualification (BCQ), the strong ...
Abstract. We study best approximation problems with nonlinear constraints in Hilbert spaces. The str...
AbstractThe problem considered is that of characterizing the best approximation, to a given x in a H...
summary:Some existence results on best approximation are proved without starshaped subset and affine...
Abstract. For a general infinite system of convex inequalities in a Banach space, we study the basic...
AbstractIn this paper, we show that the strong conical hull intersection property (CHIP) completely ...
AbstractMany interesting and important problems of best approximationare included in (or can be redu...
AbstractThe aim of the present paper is to develop a theory of best approximation by elements of so-...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
In this paper several types of perturbations on a convex inequality system are considered, and condi...
AbstractThis paper is concerned with characterization of best approximations and unique best approxi...
We study qualitative indications for d.c. representations of closed sets in and functions on Hilbert...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
In this paper, we prove some results concerning the existence of invariant best approximation in Ban...
AbstractIn this paper new versions of solvability theorems are given for general inequality systems ...
Abstract. Several fundamental concepts such as the basic constraint qualification (BCQ), the strong ...
Abstract. We study best approximation problems with nonlinear constraints in Hilbert spaces. The str...
AbstractThe problem considered is that of characterizing the best approximation, to a given x in a H...
summary:Some existence results on best approximation are proved without starshaped subset and affine...
Abstract. For a general infinite system of convex inequalities in a Banach space, we study the basic...
AbstractIn this paper, we show that the strong conical hull intersection property (CHIP) completely ...
AbstractMany interesting and important problems of best approximationare included in (or can be redu...
AbstractThe aim of the present paper is to develop a theory of best approximation by elements of so-...
AbstractIf S is a bounded convex subset of Rm, the problem is to find a best approximation to a func...
In this paper several types of perturbations on a convex inequality system are considered, and condi...
AbstractThis paper is concerned with characterization of best approximations and unique best approxi...
We study qualitative indications for d.c. representations of closed sets in and functions on Hilbert...
AbstractAn existence theorem for a best approximation to a function in Lp, 1 ⩽ p ⩽ ∞, by functions f...
In this paper, we prove some results concerning the existence of invariant best approximation in Ban...
AbstractIn this paper new versions of solvability theorems are given for general inequality systems ...