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Duality for Dini-Invex Nonsmooth Multiobjective Programming
【摘要】 <正>In this paper we generalize the concept of a Dini-convex function with Dini derivative and introduce a new concept - Dini-invexity. Some properties of Dini invex functions are discussed. On the base of this, we study the Wolfe type duality and Mond-Weir type duality for Dini-invex nonsmooth multiobjective programmings and obtain corresponding duality theorems.
【Abstract】 In this paper we generalize the concept of a Dini-convex function with Dini derivative and introduce a new concept - Dini-invexity. Some properties of Dini invex functions are discussed. On the base of this, we study the Wolfe type duality and Mond-Weir type duality for Dini-invex nonsmooth multiobjective programmings and obtain corresponding duality theorems.
【Key words】 Dini-invexity； nonsmooth multiobjective programming； duality；
- 【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2005年03期
- 【分类号】O221.6
- 【下载频次】20