In this paper, such new definitions as D-B-preinvexity, strictly D-B-preinvexity and explicitly D-B-preinvexity for vector-valued mappings are firstly introduced. Then, a sufficient condition of D-B-preinvex mappings ...In this paper, such new definitions as D-B-preinvexity, strictly D-B-preinvexity and explicitly D-B-preinvexity for vector-valued mappings are firstly introduced. Then, a sufficient condition of D-B-preinvex mappings is shown. And then the relationship between the explicitly D-B-preinvcxity and the strictly D-B-preinvexity is discussed. Finally, some properties of D-B-preinvex type mappings are given.展开更多
基金Supported by the National Natural Science Foundation of China(10771141)the Natural Science Foundation of Zhejiang Province(Y6110287)Teaching Reformation Foundation of Graduate Student of Hangzhou Normal University
基金This research was supported by the National Natural Science Foundation of China （Grant No. 10171118）the Education Committee Project Research Foundation of Chongqing （Grant No. 030801）+1 种基金the Natural Science Foundation of Chongqing （No. 8409）the Inland Education Foundation of Chongqing.
文摘In this paper, such new definitions as D-B-preinvexity, strictly D-B-preinvexity and explicitly D-B-preinvexity for vector-valued mappings are firstly introduced. Then, a sufficient condition of D-B-preinvex mappings is shown. And then the relationship between the explicitly D-B-preinvcxity and the strictly D-B-preinvexity is discussed. Finally, some properties of D-B-preinvex type mappings are given.
