期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
New Fixed Point Theorems of Continuous Mappings Satisfying Monch Condition in Banach Spaces
摘要/Abstract
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.
Abstract：
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.
关键词
Key words：
continuous mapping
;
Monch condition
;
fixed point
;
Banach space