With Intersecting Subdifferential Of Preinvex Functions

In mathematical economics, game theory, management science and engineering inoptimization theory plays a very important role, mainly because there is a convex func-tion in nonlinear programming many good theoretical properties of convexity (convexsets and convex function theory). Because of the important role of convex functions inmathematical programming, which greatly promoted the development of convex analy-sis, however, has a convex function of relatively small and, therefore, people of variou-s forms of promotion that is a convex function of generalized convex functions studied,making it both maintained a convex function of the nature of good and surpasses conv-ex function range of practical applications more widely.This article will convex set promotion as preinvex set, convex function promotionas preinvex function, convex analysis research to promote the appropriate properties.For a special class of preinvex set, by which the function is defined, to overcome the d-ifficulties posed by the lack of convexity, has been a constant difference between the t-wo is only the result of having intersecting Subdifferential preinvexity functions.Mathematics is a comprehensive high discipline, not only in this paper based on t-he convexity gives meaningful promotion, and will combine it with subdifferential tog-ether gives good results. Convex function of not only the significance of the research i-n this paper will be in touch with the probability with which to study the characteristicsof convex function of probability. Be extended to the strong convex function and the r-elative probability convex characteristic function and hope on this basis can promotebetter conclusions about the relationship between convexity and probability.