Authors
M Arana-Jiménez, A Rufián-Lizana, R Osuna-Gómez, G Ruiz-Garzón
Publication date
2008/1/1
Journal
Nonlinear Analysis: Theory, Methods & Applications
Volume
68
Issue
1
Pages
24-34
Publisher
Pergamon
Description
In this paper, we establish characterizations for efficient solutions to multiobjective programming problems, which generalize the characterization of established results for optimal solutions to scalar programming problems. So, we prove that in order for Kuhn–Tucker points to be efficient solutions it is necessary and sufficient that the multiobjective problem functions belong to a new class of functions, which we introduce. Similarly, we obtain characterizations for efficient solutions by using Fritz–John optimality conditions. Some examples are proposed to illustrate these classes of functions and optimality results. We study the dual problem and establish weak, strong and converse duality results.
Scholar articles
M Arana-Jiménez, A Rufián-Lizana, R Osuna-Gómez… - Nonlinear Analysis: Theory, Methods & Applications, 2008