Weakly efficient solutions and pseudoinvexity in multiobjective control problems

作者：Arana Jimenez Manuel^*; Ruiz Garzon Gabriel; Osuna Gomez Rafaela; Rufian Lizana Antonio

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 73(6): 1792-1801.

DOI：10.1016/j.na.2010.05.014

• Continuous optimization
• Multiobjective control problem
• Pseudoinvexity
• Kuhn-Tucker and Fritz-John optimality conditions

In this paper, we introduce new pseudoinvexity conditions on functionals involved in a multiobjective control problem, called W-KT-pseudoinvexity and W-FJ-pseudoinvexity. We prove that all Kuhn-Tucker or Fritz-John points are weakly efficient solutions if and only if these conditions are fulfilled. We relate weakly efficient solutions to optimal solutions of weighting control problems. We generalize recently obtained optimality results of known mathematical programming problems and control problems. We illustrate these results with an example.

• 出版日期2010-9-15