有限与无限集系的切极值原理，I：基本理论
Tangential Extremal Principles for Finite and Infinite Systems of Sets, I: Basic Theory
摘要：
在本文中，我们开发了新的极值原理在变分分析，处理有限和无限系统的凸和非凸集。得到的结果，统一的名称切极值原则，结合原始和对偶的方法来研究变分系统实际上是第一极值原则适用于无限系统的集合。本文的第一部分涉及切向极值原理的基本理论，而第二部分介绍应用问题的半无限规划和多目标优化。
英文摘要：
In this paper we develop new extremal principles in variational analysis that deal with finite and infinite systems of convex and nonconvex sets. The results obtained, unified under the name of tangential extremal principles, combine primal and dual approaches to the study of variational systems being in fact first extremal principles applied to infinite systems of sets. The first part of the paper concerns the basic theory of tangential extremal principles while the second part presents applications to problems of semi-infinite programming and multiobjective optimization.
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