本文通过使用向量似变分不等式和半预不变凸函数来证明约束向量优化的弱极小值的存在性。

In this paper, We prove the existence of a weak minimum for constrained vector optimization problem by making use of vector variational-like inequality and semi-preinvex functions.

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本文给出了等式约束与不等式约束的关系定理，解决了带等式约束的可能性线性规划问题。

In this paper, we give a relation between constrains with equality and inequality, and have solved the possibilistic Linear programme problems.

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最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。

Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.

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