The paper deals with vector constrained extremum problems. A separation scheme is recalled; starting from it, a vector Lagrangian duality theory is developed. The linear duality due to Isermann can be embedded in this separation approach. Some classical applications are extended to the multiobjective framework in the linear case, exploiting the duality theory of Isermann.Vector Optimization, Separation, Image Space Analysis, Lagrangian Duality, Set-Valued Function.
This paper reviews several duality results in the theory of linear vector optimization using an exte...
<p><span>The duality principle provides that optimization problems may be viewed from either of two ...
In this paper, we analyse the relationships between conic and vector separation of two sets. Applyi...
Abstract. The paper deals with vector constrained extremum problems. A separation scheme is recalled...
We recall a general scheme for vector problems based on separation arguments and alternative theore...
Many duality theories of optimization problem arised in last decades were born as independent theori...
In the last years there has been a growing interest addessed to the study of Vector Optimization bot...
AbstractIn this note, a general cone separation theorem between two subsets of image space is presen...
AbstractThis paper is devoted to developing augmented Lagrangian duality theory in vector optimizati...
Using a set-valued dual cost function we give a new approach to duality theory for linear vector opt...
The aim of this work is to make some investigations concerning duality for multiobjective optimizati...
The aim of this work is to make some investigations concerning duality for multiobjective optimizati...
AbstractThis paper is devoted to developing augmented Lagrangian duality theory in vector optimizati...
In recent years, there have been several reports on duality in vector optimization. However, there s...
AbstractWe give some Lagrangian duality theorems for optimization problems, in terms of non-linear s...
This paper reviews several duality results in the theory of linear vector optimization using an exte...
<p><span>The duality principle provides that optimization problems may be viewed from either of two ...
In this paper, we analyse the relationships between conic and vector separation of two sets. Applyi...
Abstract. The paper deals with vector constrained extremum problems. A separation scheme is recalled...
We recall a general scheme for vector problems based on separation arguments and alternative theore...
Many duality theories of optimization problem arised in last decades were born as independent theori...
In the last years there has been a growing interest addessed to the study of Vector Optimization bot...
AbstractIn this note, a general cone separation theorem between two subsets of image space is presen...
AbstractThis paper is devoted to developing augmented Lagrangian duality theory in vector optimizati...
Using a set-valued dual cost function we give a new approach to duality theory for linear vector opt...
The aim of this work is to make some investigations concerning duality for multiobjective optimizati...
The aim of this work is to make some investigations concerning duality for multiobjective optimizati...
AbstractThis paper is devoted to developing augmented Lagrangian duality theory in vector optimizati...
In recent years, there have been several reports on duality in vector optimization. However, there s...
AbstractWe give some Lagrangian duality theorems for optimization problems, in terms of non-linear s...
This paper reviews several duality results in the theory of linear vector optimization using an exte...
<p><span>The duality principle provides that optimization problems may be viewed from either of two ...
In this paper, we analyse the relationships between conic and vector separation of two sets. Applyi...