| D-B-PREINVEX TYPE MAPPINGS |
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| 作者姓名： | Jianwen PENG Xinmin YANG Weidong RONG |
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| 作者单位： | [1]College of Mathematics and Computer Science, Chongqing Normal University,Chongqing 400047, China [2]Department of Mathematics, Inner Mongolia University, Hohhot 010021, China |
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| 基金项目： | 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）, the Natural Science Foundation of Chongqing （No. 8409） and the Inland Education Foundation of Chongqing. |
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| 摘 要： | In this paper,such new definitions as D-B-preinvexity,strictly D-B-preinvexity and explic-itly D-B-preinvexity for vector-valued mappings are firstly introduced.Then,a sufficient condition ofD-B-preinvex mappings is shown.And then the relationship between the explicitly D-B-preinvexityand the strictly D-B-preinvexity is discussed.Finally,some properties of D-B-preinvex type mappingsare given.
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| 关 键 词： | D-B集 映象 显集 矢量估计 |
| 收稿时间： | 2003-12-16 |
| 修稿时间： | 2003-12-162005-07-31 |
D-B-Preinvex Type Mappings |
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| Jianwen PENG Xinmin YANG Weidong RONG.D-B-PREINVEX TYPE MAPPINGS[J].Journal of Systems Science and Complexity,2006,19(1):93-100. |
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| Authors: | Jianwen Peng Xinmin Yang Weidong Rong |
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| Institution: | (1) College of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, China;(2) Department of Mathematics, Inner Mongolia University, Hohhot, 010021, China |
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| Abstract: | 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. |
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| Keywords: | D-B-preinvexity explicitly D-B-preinvexity relationship strictly D-B-preinvexity |
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