毛二万.Banach空间上的不连续映射的不动点定理[J].数学研究及应用,1997,17(2):239~242
Banach空间上的不连续映射的不动点定理
Fixed Point Theorems for Discontinuous Mapping in Banach Spaces
  
DOI:10.3770/j.issn:1000-341X.1997.02.019
中文关键词:  不连续映射  近似不动点  映射的连续化  映射的不连续测量
英文关键词:discontinuous mappings  approximate fixed points  measure of discontinuity of a functions  the continufication of the discontinuous functions.
基金项目:
作者单位
毛二万 河北师范大学数学系 
摘要点击次数: 953
全文下载次数: 765
中文摘要:
      本文把著名的Schauder定理推广到不连续映射的情形,主要的结果表明对任一Banach空间中的任一给定的紧凸子集上的任一自映射,可以在紧凸集上找一点x,使‖x-f(x)‖不超过函数的固定的不连续测量,这一结果推广了Schauder定理和文[1]的结果
英文摘要:
      In this paper, we prove a generalization of Schauder′s fixed point theorem for discontinuous maps. The main result shows that for discontinuous functions on a compact convex domain X of a Banach spaces E, one can always find a point x∈X such that |x-f(x)| is less than a certain measure of discontinuity. This result is a generalization of Schauder′s theorem and .
查看全文  查看/发表评论  下载PDF阅读器