Necessary and sufficient conditions for Kuhn-Tucker type optimality and for weak duality of nonsmooth programming

作者：Zhang, Ying^*; Xu, Ying Tao; Wang, Fei

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(9): 4007-4011.

DOI：10.1016/j.na.2009.02.082

• Nonsmooth programming
• Kuhn-Tucker point
• Mixed type dual
• Necessary and sufficient condition
• Weak duality

In this paper, we are concerned with a nonsmooth programming problem with inequality constraints. We obtain an optimality condition for Kuhn-Tucker points to be minimizers. Later on, we present necessary and sufficient conditions for weak duality between the primal problem and its mixed type dual, which help us to extend some earlier work from the literature.

• 出版日期2009-11-1
• 单位湖南师范大学; 浙江师范大学