Add to ORKGAbstract. The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functions which are K-quasiconvex with respect to a closed convex cone K in a Banach space. Our main result extends a well-known characterization of K-quasiconvexity by means of extreme directions of the polar cone of K, obtained by Dinh The Luc in the particular case when K is a polyhedral cone generated by exactly n linearly independent vectors in the Euclidean space Rn. 1
We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establi...
(in English) The aim of this paper is to study vector optimization poblems involving objective funct...
textabstractIn this paper we will show that the closely K-convexlike vector-valued functions with K ...
The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functio...
The principal aim of this paper is to show that weakly cone-convex vector-valued functions, as well ...
Abstract. The aim of this paper is to characterize in terms of classical (quasi)convexity of extende...
A classical result by Crouzeix (1977) states that a real-valued function is convex if and only if an...
This note concerns explicitly quasiconvex set-valued maps, defined on a nonempty convex subset of a ...
Abstract In this paper, we summarize several different definitions of cone quasiconvex set-valued ma...
In this paper, K- quasiconvex, K- pseudoconvex and other related functions have been introduced in t...
We introduce a class of generalized convex vector valued functions, named K-quasiconnected functions...
textabstractIn the first chapter of this book the basic results within convex and quasiconvex analys...
An open question in the study of quasiconvex function is the characterization of the class of functi...
AbstractThe aim of this paper is to show that under a mild semicontinuity assumption (the so-called ...
The notion of quasiconvex exposed points is introduced for compact sets of matrices, motivated from ...
We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establi...
(in English) The aim of this paper is to study vector optimization poblems involving objective funct...
textabstractIn this paper we will show that the closely K-convexlike vector-valued functions with K ...
The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functio...
The principal aim of this paper is to show that weakly cone-convex vector-valued functions, as well ...
Abstract. The aim of this paper is to characterize in terms of classical (quasi)convexity of extende...
A classical result by Crouzeix (1977) states that a real-valued function is convex if and only if an...
This note concerns explicitly quasiconvex set-valued maps, defined on a nonempty convex subset of a ...
Abstract In this paper, we summarize several different definitions of cone quasiconvex set-valued ma...
In this paper, K- quasiconvex, K- pseudoconvex and other related functions have been introduced in t...
We introduce a class of generalized convex vector valued functions, named K-quasiconnected functions...
textabstractIn the first chapter of this book the basic results within convex and quasiconvex analys...
An open question in the study of quasiconvex function is the characterization of the class of functi...
AbstractThe aim of this paper is to show that under a mild semicontinuity assumption (the so-called ...
The notion of quasiconvex exposed points is introduced for compact sets of matrices, motivated from ...
We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establi...
(in English) The aim of this paper is to study vector optimization poblems involving objective funct...
textabstractIn this paper we will show that the closely K-convexlike vector-valued functions with K ...