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 Nonexpansive Mappings in Hilbert Spaces
摘要/Abstract
摘要：
利用非扩张映射的非线性二择一性质，得到了Hilbert空间中非扩张映射的若干新不动点定理，从而推广了著名的非扩张映射Altman定理、Roth定理和Petryshyn定理。
Abstract：
By means of nonlinear alternative for nonexpansive mappings,some new fixed point theorems of contraction mappings are obtained.As a result,the famous Altman's theorem,Roth's theorem and Petryshyn theorem for such class of mappings are generalized.
关键词
Key words：
nonexpansive mapping
;
nonlinear alternative
;
fixed point
;
Hilbert space