In this paper, vector continuous-time programming problems with inequality type of constraints are considered. All the results are obtained under convexity assumptions. The main tool employed in the derivation of the zero order optimality conditions is a new version of theorem of the alternative in functional spaces. To apply the alternative theorem, a certain regularity condition must be satisfied. No differentiability assumption is imposed.

中文翻译：

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向量优化凸连续时间问题的新最优性准则

在本文中，考虑了具有不等式约束的向量连续时间规划问题。所有结果都是在凸性假设下获得的。用于推导零阶最优性条件的主要工具是函数空间中替代定理的新版本。要应用替代定理，必须满足一定的正则性条件。没有强加可微性假设。