本文主要研究了非紧致集上的极大值函数和带不等式约束的广义半无限规划。
This dissertation is devoted to the study of sup-type function on non-compact set and the first-order optimality conditions for generalized semi-infinite programming with inequality constraints.
在极大值函数的有效域为非空凸集的条件下研究了次微分，并给出它的结构表达式。
And the expression of its subdifferential is developed in the case that the effective domain of the sup-type function is a non-empty convex set.
利用凝聚函数一致逼近非光滑极大值函数的性质，将非线性互补问题转化为参数化光滑方程组。
By using a smooth aggregate function to approximate the non-smooth max-type function, nonlinear complementarity problem can be treated as a family of parameterized smooth equations.
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