Generalized Gradients in Sense of Henig Efficiency for Set-valued Maps
In this paper, we deal with the Henig efficiency for set-valued optimization problems in sense of subdifferential. By the epiderivative for a set-valued mapping, the concepts of the generalized gradient and subdifferential for efficiency are introduced. Based upon the separation theorem, the existence for Henig subdifferential is established, and the optimality condition for Henig efficient solutions of vector set-valued optimization is obtained by the subdifferential in terms of Henig efficiency. The results deepen and enrich the content of optimization theory and applications.
Guolin Yu
Research Institute of Information and System Computation Science The North University for Ethnics Yinchuan 750021, P.R.China
国际会议
三亚
英文
1773-1776
2009-04-24（万方平台首次上网日期，不代表论文的发表时间）