摘要
给出Leray-Schauder不动点定理的一个新证明.我们首先给出集值映射的焊接引理,利用集值映射的焊接引理和Kakutani不动点定理证明Leray-Schauder不动点定理,并证明Leray-Schauder不动点定理与Brouwer不动点定理等价.
A new proof of the Leray-Schauder fixed point theorem is established in this paper.By the set valued version of pasting lemma and the Kakutani fixed point theorem,we prove the Leray-Schauder fixed point theorem.The equivlence between the Brouwer fixed point theorem and the Leray-Schauder fixed point theorem is established.
出处
《大学数学》
2009年第4期113-115,共3页
College Mathematics
基金
广西科学基金资助项目(0832101)
