Higher-Order Optimality Conditions and Higher-Order Tangent Sets
提出一种分析集合与函数高阶近似的简单方法，研究对象不限于整数阶，并由此推导高阶最优性条件及建立一些微积分规则。
We present a simple approach to an analysis of higher order approximations to sets and functions. The objects we study are not of a specific order; they include objects of order 2 and $m$ with $m$ not necessarily an integer. We deduce from these concepts optimality conditions of higher order and we establish some calculus rules.