Optimality concepts for vector optimization problems with a variable ordering structure are
examined. These considerations are motivated by an application in medical image …

Our main concern in this article are concepts of nondominatedness wrt a variable ordering
structure introduced by Yu [PL Yu, Cone convexity, cone extreme points, and nondominated …

In vector optimization one assumes in general that a partial ordering is given by some
nontrivial convex cone K in the considered space Y. But already in 1974 in one of the first …

In this paper, we generalize the concept of well-posedness to a class of split hemivariational
inequalities. By imposing very mild assumptions on involved operators, we establish some …

This paper is devoted to the Levitin–Polyak well-posedness by perturbations for a class of
general systems of set-valued vector quasi-equilibrium problems (SSVQEP) in Hausdorff …

The aim of this paper is to study Levitin–Polyak (LP in short) well-posedness for set
optimization problems. We define the global notions of metrically well-setness and metrically …

The aim of this work is to investigate optimization-related problems with the objective spaces
ordered by the lexicographic cones, including parametric lexicographic equilibrium …

In this paper, the notion of the generalized Tykhonov well-posedness for system of vector
quasi-equilibrium problems are investigated. By using the gap functions of the system of …

In this paper, Levitin-Polyak well-posedness for two classes of generalized vector quasi-
equilibrium problems is introduced. Criteria and characterizations of the Levitin-Polyak well …

In this paper, we introduce several types of Levitin-Polyak well-posedness for a generalized
vector quasi-equilibrium problem with functional constraints and abstract set constraints …