摘要
利用拓扑度理论讨论了局部凸拓扑向量空间中凝聚映象的不动点问题,首先证明了凝聚映像中的Leray-Shauder定理,然后应用此定理在局部凸拓扑向量空间中进一步推广了Altman定理,从而获得了一些更为广泛的不动点定理,所得结果是已知结果的本质改进与推广.
In this paper, by using topological degree theory, we discuss fixed point theorems of condensing operator in locally con- vex topological vector spaces. First, we prove Leray-Shauder fixed point theorem of condensing operator. From this theorem we general- ize the famous Altman theorem in locally convex topological vector spaces. Then some more generalized fixed point theorems are ob- tained, which improve and generalize some corresponding ones.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第5期625-627,共3页
Journal of Sichuan Normal University(Natural Science)
基金
国家自然科学基金(10671167)
山东省高等学校科技计划(J09LA55)资助项目
齐鲁师范学院青年教师科研基金(2011L1508)
关键词
局部凸拓扑向量空间
凝聚映象
拓扑度理论
不动点定理
locally convex topological vector spaces
condensing operator
topological degree theory
fixed point theorem