SUFFICIENCY AND DUALITY IN VECTOR OPTIMIZATION INVOLVING ARCWISE CONNECTED TYPE-I FUNCTIONS
In this note, we deal with a vector optimization problem where all functions involved are defined on Hausdorff locally convex spaces. New classes of generalized type-I functions are introduced for directional differentiable arcwise connected functions between Hausdorff locally convex spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on duality.
Vector optimization Optimality conditions Arcwise connected type-I functions Duality
GUOLIN YU
Institute of Information and System Science, The North University for Ethnics, Yinchuan 750021, P.R.China
国际会议
The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)
大连
英文
1045-1051
2008-12-18(万方平台首次上网日期,不代表论文的发表时间)