Banach空间中广义Lipschitz Φ-强伪压缩映射的Ishikawa迭代逼近  

Ishikawa Iterative Approximation for Generalized Lipschitzian Φ-Strongly Pseudocontracive Mappings in Banach Spaces

作　　者：汪志明[1] 薛志群[2] 

机构地区：[1]唐山学院基础部,河北唐山063000 [2]石家庄铁道学院数理系,河北石家庄050043

出　　处：《河北师范大学学报（自然科学版）》2007年第3期299-304,共6页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(19971068)

摘　　要：设1<q≤2,T是从实q-一致光滑Banach空间E的非空闭凸子集到自身的广义Lipschitz Φ-强伪压缩映射,且有不动点.证明了Ishikawa迭代强收敛到T的唯一不动点.Let 1 〈 q≤2, suppose T is a generalized Lipschitzian φ-strongly pseudocontractive self-mapping on a nonempty closed convex subset of a real q-uniformly smooth Banach space E, and has a fixed point. It is shown that the Ishikawa iterarive method converges strongly to the unique fixed point of T.

关 键 词：广义LIPSCHITZ Φ-强伪压缩映射 Ishikawa迭代法 q-一致光滑的Banach空间 不动点 

分 类 号：O177.91[理学—数学]