中文摘要：

提出了一类新的向量值映射——D-η-E-半预不变凸映射，它是E-预不变凸映射与D-η-半预不变凸映射的真推广．首先，用例子说明了E-半不变凸集、D-η-E-半预不变凸映射的存在性；然后，给出了D-η-E-半预不变凸映射的判定定理，并讨论了D-η-E-半预不变凸映射与D-η-E-严格／半严格半预不变凸映射的关系；最后，得到了D-η-E-半严格半预不变凸映射在隐约束优化问题中的一个重要应用，并举例验证了所得结果．

英文摘要：

A class of new vector valued generalized convex mappings--D-η-E-semipreinvex mappings, as a true generalization of the E-preinvex mappings and the D-η-semipreinvex map- pings, were given. First, several examples were presented to show the existence of the E-semiinvex sets and the D-y-E-semipreinvex mappings. Second, a decision criterion for the D-η-E- semipreinvex mappings was introduced, and the relationships among the D-~q-E-semipreinvexity, the D-η-E- strict semipreinvexity and the D-η-E- semistrict semipreinvexity were discussed. Finally, an important application of the D-η-E-semistrictly semipreinvexity to vector optimization with implicit constraint was discussed, then some examples were given to prove the main conclusions.