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The National Natural Science Foundation of China(No.11431004No.11301571)+2 种基金the Basic and Advanced Research Project of Chongqing(No.cstc2017jcyjAX0382)the Technological Innovation Project in Livelihood of Chongqing(No.cstc2015shmszx30004)the Innovation Training Project of Chongqing Jiaotong University(No.201710618060)~~
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.
