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-preinvexity and the strictly D-B-preinvexity is discussed. Finally, some properties of D-B-preinvex type mappings are given.
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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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Peng, J., Yang, X. & Rong, W. D-B-Preinvex Type Mappings. Jrl Syst Sci & Complex 19, 93–100 (2006). https://doi.org/10.1007/s11424-006-0093-5
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DOI: https://doi.org/10.1007/s11424-006-0093-5