A necessary and sufficient condition for duality in multiobjective variational problems

作者：Arana Jimenez M^*; Ruiz Garzon G; Rufian Lizana A; Osuna Gomez R

来源：European Journal of Operational Research, 2010, 201(3): 672-681.

DOI：10.1016/j.ejor.2009.03.047

• Multiple objective programming
• Nonlinear programming
• Multiobjective variational problem
• Pseudoinvexity
• Optimality condition

In this paper we move forward in the study of duality and efficiency in multiobjective variational problems. We introduce new classes of pseudoinvex functions, and prove that not only it is a sufficient condition to establish duality results, but it is also necessary. Moreover, these functions are characterized in order that all Kuhn-Tucker or Fritz John points are efficient solutions. Recent papers are improved. We provide an example to show this improvement and illustrate these classes of functions and results.

• 出版日期2010-3-16