%0 Journal Article
%T A Note on Nonsmooth Pseudoinvexity
%A ZHAO Jie
%A WAN Xuan
%A LONG Pu-jun
%J Journal of Chongqing Normal University
%D 2011
%I Chongqing Normal University
%X Zhao et al has obtained a sufficient condition about semi-strictly prequasi-invex functions, which the differentiable pseudoinvex functions must be semi-strictly prequasi-invex functions with the same vetor-valued function under some suitable conditions. In this paper, it was generalized that the corresponding results to the nonsmooth case. It was proved that the nonsmooth pseudo-invex functions which based on the open invex set with respect to the vector-valued function and satisfied the condition of Lipschitz which are semi-strictly srequasi-invex functions with respect to the same vector-valued function by making use of the condition C and the theory of Clarke subdifferential.
%K nonsmooth pseudoinvexity
%K prequasiinvexity
%K semi-strictly prequasiinvexity
%U http://journal.cqnu.edu.cn/1106/pdf/0603.pdf