Approximation of fixed points of strictly pseudo-contractive mapping without Lipschitz assumption

被引：0
|
作者：
Huang Z. [1 ]
机构：
[1] Dept. Of Math., Nanjing Univ., Nanjing
来源：
Applied Mathematics-A Journal of Chinese Universities | 2000年 / 15卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Arbitrary real Banach spaces; Ishikawa iterative process; Strictly pseudo-contractive; Uniformly continuous;
D O I：
10.1007/s11766-000-0011-x
中图分类号：
学科分类号：
摘要：
Without the Lipschitz assumption and boundedness of K in arbitrary Banach spaces, the Ishikawa iteration {xn.}(Formula Presented) defined by x1, ∈ K, xn +1 = (1 - an.)xn. + an Tyn, yn. = (1 - βn) xn + βnTx., n ≥ 1 satisfying (Formula Presented) is proved to converge strongly to the unique fixed point of T.where T:K→K is a uniformly continuous strictly pseu­do-contractive operator with bounded range. © 1999, Springer Verlag. All rights reserved.
引用
收藏
页码：73 / 77
页数：4
相关论文
共 50 条
12345