K一致圆形与渐近非扩张型映象的不动点  

K-Uniform Rotundity and Fixed Points for Mappings of Asymptotically Nonexpansive Type

作　　者：游兆永[1] 徐洪坤[2] 

机构地区：[1]西安交通大学 [2]华东化工学院

出　　处：《工程数学学报》1992年第4期1-8,共8页Chinese Journal of Engineering Mathematics

摘　　要：本文在k一致圆形Banach空间中证明了连续渐近非扩张型映象不动点的存在性。这一结果推广了Gocbcl-Kirk,Kirk,俞鑫泰—戴兴德等人的结果。本文还在K-致圆形且满足Opial条件的Banach空间中证明了渐近非扩张(型)映象Picard逐次迭代序列的弱收敛性。An existence theorem of fixed points for mappings of asymptotically nonexpansive type is proved in any k-uniformly rotund Banach space, which generalizes results of Goebel-kirk[2], Kirk[3], and Yu Xintai-Dc Xingde[6]. Weak convergence of the Picard successive sequences of an asymptotically nonexpansive (type) mapping to a fixed point is also proved in any k-uniformly rotund Banach spaces satisfying the Opial's condition.

关 键 词：K一致圆形 非扩张映象 不动点 

分 类 号：O189.2[理学—数学]