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

页码：73 / 77

页数：4