We study maximal points in a locally convex space partially ordered by a convex cone with a bounded base. Properly maximal points are defined and compared with other concepts of efficiency. Existence and density theorems are given which unify and generalize several results known in recent literature. Particular attention is paid on properly maximal points in a product space which has an interesting application in obtaining a multiplier rule for convex set-valued problems in a general setting
AbstractRecently Benson proposed a definition for extending Geoffrion's concept of proper efficiency...
Abstract: In this paper, we define several relations of two sets with respect to an ordering convex ...
An inner product space is defined on a finite partial order. Some combinatorial inequalities pertain...
We study maximal points in a locally convex space partially ordered by a convex cone with a bounded ...
We consider the problem of finding the set of proper minimal (proper efficient, proper Pareto optima...
In this paper we first extend from normed spaces to locally convex spaces some characterizations of ...
The notion of a strictly maximal point is a concept of proper maximality that plays an important rol...
A useful technique in identifying efficient (maximal) points of a partially ordered set A is to appr...
AbstractWe consider the constrained vector optimization problem minCf(x), x∈A, where X and Y are nor...
Recently Benson proposed a definition for extending Geoffrion's concept of proper efficiency to the ...
Proper efficient points (Pareto maxima) are defined in tangent cone terms and are characterized by t...
This research paper is devoted to the study of the properties for Pareto-type efficient point sets i...
AbstractUsing Reich’s [1] definition of the measure of noncompactness for locally convex spaces, we ...
AbstractThis research paper is devoted to establish the coincidence between Choquet boundaries and a...
The connectivity of the efficient point set and of some proper efficient point sets in locally conve...
AbstractRecently Benson proposed a definition for extending Geoffrion's concept of proper efficiency...
Abstract: In this paper, we define several relations of two sets with respect to an ordering convex ...
An inner product space is defined on a finite partial order. Some combinatorial inequalities pertain...
We study maximal points in a locally convex space partially ordered by a convex cone with a bounded ...
We consider the problem of finding the set of proper minimal (proper efficient, proper Pareto optima...
In this paper we first extend from normed spaces to locally convex spaces some characterizations of ...
The notion of a strictly maximal point is a concept of proper maximality that plays an important rol...
A useful technique in identifying efficient (maximal) points of a partially ordered set A is to appr...
AbstractWe consider the constrained vector optimization problem minCf(x), x∈A, where X and Y are nor...
Recently Benson proposed a definition for extending Geoffrion's concept of proper efficiency to the ...
Proper efficient points (Pareto maxima) are defined in tangent cone terms and are characterized by t...
This research paper is devoted to the study of the properties for Pareto-type efficient point sets i...
AbstractUsing Reich’s [1] definition of the measure of noncompactness for locally convex spaces, we ...
AbstractThis research paper is devoted to establish the coincidence between Choquet boundaries and a...
The connectivity of the efficient point set and of some proper efficient point sets in locally conve...
AbstractRecently Benson proposed a definition for extending Geoffrion's concept of proper efficiency...
Abstract: In this paper, we define several relations of two sets with respect to an ordering convex ...
An inner product space is defined on a finite partial order. Some combinatorial inequalities pertain...