%0 Journal Article
%T On Characterizing Solution Sets of Nonsmooth B-Preinvex Optimization Problems
%A WAN Xuan
%A ZHAO Ke-quan
%J Journal of Chongqing Normal University
%D 2012
%I Chongqing Normal University
%X In this paper, various characterizations of optimal solution sets of nonsmooth B-preinvex optimization problems with inequality constrains are given. Firstly, making use of Clarke¡¯s subdifferential, we establish the optimality condition for this kind of optimization problem; secondly, we presented a property about the solution set S of constrained B-preinvex optimization proble; finally, five equivalent characterizations of the solution set are obtained, that is,* An example is given to illustrate that five solution sets are equal, i.e. S=£û0£ı.(* Indicates a formula, please see the full text)
%K nonsmooth B-preinvex optimization
%K Clarke¡¯s subdifferential
%K solution sets
%U http://journal.cqnu.edu.cn/1206/pdf/120601.pdf