Iterative solutions of nonlinear equations of the strongly accretive type

被引：23

作者：

Chidume, CE ^{[1
]}

机构：

[1] Int Ctr Theoret Phys, Trieste, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 1998年 / 189卷

关键词：

strong pseudo-contraction; strongly accretive maps; Mann iteration process; Ishikawa iteration process; q-uniformly smooth spaces;

D O I：

10.1002/mana.19981890105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be a real q - uniformly smooth Banach space. Suppose T is a strongly pseudo-contractive map with open domain D(T) in E. Suppose further that T has a fixed point in D(T). Under various continuity assumptions on T it is proved that each of the Mann iteration process or the Ishikawa iteration method converges strongly to the unique fixed point of T. Related results deal with iterative solutions of nonlinear operator equations involving strongly accretive maps. Explicit error estimates are also provided.

引用

页码：49 / 60

页数：12

共 33 条

[1]

BETHKE M, 1989, MATH NATURWISS FAK, V27, P263

[2] NONLINEAR MAPPINGS OF NONEXPANSIVE AND ACCRETIVE TYPE IN BANACH SPACES [J].