摘要
利用同伦不变性把不动点定理的条件‖F(x)-x‖2≥‖F(x)‖2-‖x‖2进行了推广,给出了Altman定理在凝聚映射及更二般映射下几个方面的推广形式.
The conditions 1||F(x)-x1||^2≥||F(x)||^2-||x||^2 of the fixed point theorem were extended by usi the homotopic in variance, the generalized forms of the Altman theorem were given in the condensed mapping a mapping of the more general aspects.
出处
《河南大学学报(自然科学版)》
CAS
北大核心
2009年第4期343-344,352,共3页
Journal of Henan University:Natural Science
基金
河南省自然科学基金资助项目(0511012700)
关键词
非线性分析
不动点原理
同伦不变性
nonlinear functional analysis
fixed point principle
homotopic invariance.