The types of questions that we need to ask involve such obviously important ones like " how can i prove to you who i am ? " and " how can i ensure that company xyz can only access and use my email address for sending me application alert notifications and not new product sales pitches . " below i ve listed just some of the more generic types of questions that get to the root of the problem we are trying to solve 我们需要回答的问题的类型包括一些明显重要的，如“我怎样才能向您证明我是谁？ ”以及“怎样才能确保公司xyz只能将我的电子邮件地址用于向我发送应用软件提醒通知，而不是新产品的销售广告呢？ ”我在下文中仅列出了一些我们试图解决问题根源的普遍问题。
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。
