连续泛函 meaning in Chinese

continuous functional

In the present paper , a max - min theorem and a max theorem are proved on local convex topological linear spaces , as an application , it is obtained that there exists optimal mixed strategies in a two - person game with an infinite pure strategy set
摘要证明了局部凸线性拓扑空间上实值连续泛函的极大极小定理与极大定理，并由此证明了一类具有无限纯策略集的二人对策中最优混合策略的存在性。
Throughout the following of this section , e denotes a real banach space and p is a cone in e . in chapter , a new three - solution theorem is obtained . moreover , the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases , namely they are united . so they are improved . the main results can be stated as the following : let d be a nonempty bounded close convex subset in e , and nonnegative continuous functional on d . and is concave while is convex . suppose 0 < d and denote
首先我们约定，在下文中， e是实banach空间， p是e中的锥。在第一章中，我们利用锥理论与不动点指数理论统一了著名的amann三解定理与leggett - williams三解定理。主要结论是：设d是e中的非空有界闭凸集，，是d上的非负连续泛函，且是凹泛函，是凸泛函。