Leray-Schauder不动点定理的Borsuk-Ulam型推广
A Borsuk-Ulam Type Generalization of the Leray-Schauder Fixed Point Theorem
摘要：
基于有限维Borsuk-Ulam型对映体构造，给出了经典Leray-Schauder不动点定理的一个推广。两个完全不同的证明的基础上的投影算子的方法和著名的Krein-Milman定理的弱版本。
英文摘要：
A generalization of the classical Leray-Schauder fixed point theorem, based on the in finite- dimensional Borsuk-Ulam type antipode construction, is proposed. Two completely different proofs based on the projection operator approach and on a weak version of the well known Krein-Milman theorem are presented.
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