Many systems or applications have been developed for distributed environments with the
goal of attaining multiple objectives in the face of environmental challenges such as high …

Problems with multiple objectives and criteria are generally known as multiple criteria
optimization or multiple criteria decision-making (MCDM) problems. So far, these types of …

Complete dual characterizations of the weak and proper optimal solution sets of an infinite
dimensional convex vector minimization problem are given. The results are expressed in …

Various characterizations of optimal solution sets of cone-constrained convex optimization
problems are given. The results are expressed in terms of subgradients and Lagrange …

We establish existence results for finite dimensional vector minimization problems allowing
the solution set to be unbounded. The solutions to be referred are ideal (strong)/weakly …

In this paper, a relationship between a vector variational inequality and a vector optimization
problem is given on a Hadamard manifold. An existence of a weak minimum for a …

A new approach to characterize the solution set of a nonconvex optimization problem via its
dual problem is proposed. Some properties of the Lagrange function associated to the …

The notions of lower and upper radial epiderivatives (a radial notion different from that
generally discussed) for nonconvex vector-valued functions are introduced, many of their …

Necessary and sufficient conditions are obtained for the existence of ϵ-weak minima for
constrained convex vector optimization problems. The characterization of ϵ-weak minima is …

The paper is devoted to the existence of global optimal solutions for a general class of
nonsmooth problems of constrained vector optimization without boundedness assumptions …