关于Banach空间中Lipschitz映象对的公共不动点的存在性

曾六川

关于Banach空间中Lipschitz映象对的公共不动点的存在性

曾六川

上海师范大学数学系上海 200234

基金项目: 国家自然科学基金资助项目(19801023);高等学校优秀青年教师教学和科研奖励基金资助项目

详细信息

作者简介:
曾六川(1965- ),男,湖南人,教授,已发表论文近70余篇(E-mail:zenglc@hotmail.com).

中图分类号: O177.91
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出版历程
- 收稿日期: 2001-09-25
- 修回日期: 2002-07-09
- 刊出日期: 2003-03-15

On the Existence of Common Fixed Points for a Pair of Lipschitzian Mappings in Banach Spaces

ZENG Lu-chuan

Departement of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

摘要

摘要: 证明了p一致凸Banach空间中Lipschitz映象对的公共不动点的存在性。利用这个结果,在Hilbert空间,L^p空间,Hardy空间H^p,Sobolev空间H^r,p,1<p<∞,r≥0,也建立了这些映象的若干公共不动点定理。
- 渐近正则性 /
- 公共不动点 /
- Lipschitz映象 /
- p一致凸Banach空间 /
- 弱ω-极限集
Abstract: The existence of common fixed points for a pair of Lipschitzian mappings in Banach Spaces is proved.By using this result, some common fixed point theorems are established for these mappings in Hilbert spaces, in L^pspaces, in Hardy spaces H^p, and in Sobolev spaces H^r,p, for 1< p< +∞ and r≥0.
- asymptotic regularity /
- common fixed point /
- Lipschitzian mapping /
- puniformly convex Banach space /
- weak X-limitset

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参考文献(25)

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