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局部凸空间中的不动点定理及其应用

Fixed point theorems in locally convex spaces and its applications
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摘要 讨论了局部凸空间中推广的Leray-Schauder度的基本性质,建立了一些新的不动点定理,并给出了对局部凸空间Cauchy初值问题的应用.这些定理是Banach空间中相应结果的推广. In this paper,the properties of Leray-Schauder degree generalized in locally convex spaces are discussed.Then some new fixed point theorems are proved.Finally,one of these theorems is applied to study the existence of solutions to Cauchy initial value problem.The results obtained are the generalization of the corresponding ones in Banach spaces.
作者 史红波 朱江
机构地区 淮阴师范学院数学科学学院 徐州师范大学数学科学学院
出处 《纯粹数学与应用数学》 CSCD 2010年第3期467-472,共6页 Pure and Applied Mathematics
基金 国家自然科学基金(10801065)
关键词 局部凸空间 LERAY-SCHAUDER度 不动点定理 Cauchy初值问题 locally convex spaces Leray-Schauder degree fixed point theorem Cauchy initial value problem
分类号 O177.91 [理学—基础数学]
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参考文献15

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二级参考文献38

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纯粹数学与应用数学
2010年 第3期

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