Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems

نویسندگان

  • Xin-kun Wu
  • Jiawei Chen
  • Yun-Zhi Zou
چکیده

A nondifferentiable multiobjective optimization problem with nonempty set constraints is considered, and the equivalence of weakly efficient solutions, the critical points for the nondifferentiable multiobjective optimization problems, and solutions for vector variational-like inequalities is established under some suitable conditions. Nonemptiness and compactness of the solutions set for the nondifferentiable multiobjective optimization problems are proved by using the FKKM theorem and a fixed-point theorem.

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عنوان ژورنال:
  • J. Applied Mathematics

دوره 2011  شماره 

صفحات  -

تاریخ انتشار 2011