摘要
利用Banach空间中满足Monch条件的连续映射的1个基本不动点定理,在适当的边界条件下,得到了Banach空间中满足Monch条件的连续映射的新不动点定理.特别地,得到了Banach空间中满足Monch条件的连续映射的Altman定理、Roth定理和Petryshyn定理及其各种推广形式.
Based on a basic result for continuous mappings satisfying Monch condition,some new fixed point theorems of continuous mappings satisfying Monch condition are obtained.As a result,the famous Altman＇s theorem,Roth＇s theorem and Petryshyn theorem for such class of mappings are obtained and generalized.
出处
《河北师范大学学报（自然科学版）》
CAS
北大核心
2011年第6期547-550,共4页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(10961003)
韩山师范学院博士基金启动项目
