Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems

نویسندگان

  • Ying Gao
  • Xinmin Yang
  • Heung Wing
  • Joseph Lee
  • Mohamed El-Gebeily
چکیده

We study firstand second-order necessary and sufficient optimality conditions for approximate weakly, properly efficient solutions of multiobjective optimization problems. Here, tangent cone, -normal cone, cones of feasible directions, second-order tangent set, asymptotic second-order cone, and Hadamard upper lower directional derivatives are used in the characterizations. The results are first presented in convex cases and then generalized to nonconvex cases by employing local concepts.

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تاریخ انتشار 2010