摘要
设X为实Banach空间,D是X中非空有界闭凸集,本文证明了D上一类具有全连续扰动的γ-非膨胀映射族或具有强连续扰动的广义压缩映射族M在Baire纲的意义下,几乎所有的映射都具有不动点。
In this paper, the author discuss the problem of the generic existence of fixed points for a set of mappings with perturbation in a bounded closed closed convex nonempty subset of a real Banach space and obtain some results.
关键词
剩余集
强连续
扰动映射
不动点
residual subset
strongly continuous
the mapping with perturbation
fixed point