摘要
本文在探讨自反Banach空间对偶映射的存在和非扩张映射在Hilbert空间具有不动点的基础上,给扩张映射加以某些条件限制,使得扩张映射在Hilbert空间上也具有不动点.
By investigating the existence of dual mappings of reflexive Banach spaces and the existence of fixed points of non-expanding mappings in Hilbert spaces under some conditions,this article gives some limit to expanding mappings so that there are fixed points of the expanding mappings in Hilbert spaces.