摘要
通过对广义凸性模与弱正交系数关系的研究,得到了Banach空间具有一致正规结构的充分条件,从而得到了Banach空间上的单值非扩张映射存在不动点的充分条件,并且证明了上述条件同样使得Banach空间上的集值非扩张映射也存在不动点。
By the study of the relationship between generalized modulus of convexity and the coefficient of weak orthogonality, sufficient condition for Banach space X have uniform normal structure is obtained, which imply the single valued nonexpansive mapping to have fixed point, moreover which also imply the muhivalued nonexpansive mapping to have fixed point.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2009年第2期206-210,共5页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(10571037)
关键词
广义凸性模
弱正交系数
一致正规结构
非扩张映射
不动点
generalized modulus of convexity
coefficient of weak orthogonality
uniform normal structure
nonexpansive
fixed point
