Add to ORKGWe introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decreasing functions, and conormal (upward) sets. We prove that the comple-ments of the subset of strictly increasing IPH functions, of the subset of strictly decreas-ing functions, and of the subset of strictly conormal sets are σ-porous in corresponding spaces. Some applications to optimization are given. 1
We consider the minimization problem f (x)→min, x ∈ K, where K is a closed subset of an ordered Bana...
The main aim of this survey paper is to give basic information about properties and applications of ...
Let X be a Banach space and Z a nonempty closed subset of X. Let J:Z → R be a lower semicon-tinuous ...
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decr...
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decr...
In this work we consider spaces of increasing functions defined on a subset of an ordered normed spa...
We study the minimization problem f(x)→min, x∈C, where f belongs to a complete metric space ℳ of con...
Abstract. We prove that in some classes of optimization problems, like lower semicontinuous function...
It is shown that in metric spaces each [alpha, phi)-meagre set A is uniformly very porous and its in...
of the dissertation thesis Title: Sigma-porous sets and the differentiation theory Author: Martin Ko...
In the present work, we investigate a collection of symmetric minimization problems, which is identi...
We prove that in some classes of optimization problems, like lower semicontinuous functions which ar...
In this article we examine various kinds of convergence of sequences of increasing positively homoge...
Let (X, d) be a bounded metric space with a base point 0 X , (Y, •) be a Banach space and Lip α 0 (X...
In this article, we study increasing and positively homogeneous functions defined on convex cones of...
We consider the minimization problem f (x)→min, x ∈ K, where K is a closed subset of an ordered Bana...
The main aim of this survey paper is to give basic information about properties and applications of ...
Let X be a Banach space and Z a nonempty closed subset of X. Let J:Z → R be a lower semicon-tinuous ...
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decr...
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decr...
In this work we consider spaces of increasing functions defined on a subset of an ordered normed spa...
We study the minimization problem f(x)→min, x∈C, where f belongs to a complete metric space ℳ of con...
Abstract. We prove that in some classes of optimization problems, like lower semicontinuous function...
It is shown that in metric spaces each [alpha, phi)-meagre set A is uniformly very porous and its in...
of the dissertation thesis Title: Sigma-porous sets and the differentiation theory Author: Martin Ko...
In the present work, we investigate a collection of symmetric minimization problems, which is identi...
We prove that in some classes of optimization problems, like lower semicontinuous functions which ar...
In this article we examine various kinds of convergence of sequences of increasing positively homoge...
Let (X, d) be a bounded metric space with a base point 0 X , (Y, •) be a Banach space and Lip α 0 (X...
In this article, we study increasing and positively homogeneous functions defined on convex cones of...
We consider the minimization problem f (x)→min, x ∈ K, where K is a closed subset of an ordered Bana...
The main aim of this survey paper is to give basic information about properties and applications of ...
Let X be a Banach space and Z a nonempty closed subset of X. Let J:Z → R be a lower semicon-tinuous ...