Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces

被引：112

作者：

Chang, SS ^{[1
]}

Cho, YJ

Lee, BS

Jung, JS

Kang, SM

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

[3] Kyungsung Univ, Dept Math, Pusan 608736, South Korea

[4] Dong A Univ, Dept Math, Pusan 604714, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 224卷 / 01期

基金：

中国国家自然科学基金;

关键词：

strongly accretive mapping; strongly pseudo-contractive mapping; Mann iteration sequence; Ishikawa iteration sequence; duality mapping;

D O I：

10.1006/jmaa.1998.5993

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove some new convergence theorems of the Ishikawa and Mann iteration sequences for strongly accretive and strongly pseudo-contractive mappings by using the new inequality and the new approximation methods. Our main results improve and extend the corresponding results of [J. Math. Anal. Appl. 151 (1990), 453-461; Proc. Amer. Math. Sec. 120 (1994), 545-551; J. Math. Appl. 192 (1995), 502-518; J. Math. Anal. Appl. 174 (1993), 441-449; Acta Appl. Math. 32 (1993), 183-196; Nonlinear Anal. TMA 24 (1995), 981-987; J. Math. Anal. Appl. 178 (1993), 9-21; Proc. Amer. Math. Sec. 125(6) (1997), 1705-1709]. (C) 1998 Academic Press.

引用

页码：149 / 165

页数：17

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