引进一类广义非线性向量似变分不等式，建立其解存在的充分条件。

Last, a kind of generalized nonlinear vector variational-like inequalities is presented and the solution existence for this kind of variational inequalities is given.

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在黎曼流形上分别给出了伪不变凸函数和弱向量似变分不等式的概念。

The definitions of pseudo-invex function and weak vector variation-like inequality on Riemannian manifolds are presented.

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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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定义四类广义向量拟似变分不等式，并给出它们解存在的充分条件。

Moreover, four kinds of generalized vector quasi-variational-like inequalities, which are the generalization of vector variational inequalities, are defined and studied.

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定义四类广义向量拟似变分不等式，并给出它们解存在的充分条件。

Moreover, four kinds of generalized vector quasi-variational-like inequalities, which are the generalization of vector variational inequalities, are defined and studied.

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