Weak and strong convergence theorems of an implicit iteration for a countable family of continuous pseudocontractive mappings

被引：17

作者：

Boonchari, Daruni ^{[2
]}

Saejung, Satit ^{[1
]}

机构：

[1] Khon Kaen Univ, Dept Math, Khon Kaen 40002, Thailand

[2] Mahasarakham Univ, Dept Math, Maha Sarakham 44150, Thailand

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 233卷 / 04期

关键词：

Convergence theorem; Implicit iteration; Continuous pseudocontractive mapping; Strictly pseudocontractive mapping; COMMON FIXED-POINTS; ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; BANACH-SPACES; LIPSCHITZ PSEUDOCONTRACTIONS; NONLINEAR MAPPINGS; FINITE FAMILY;

D O I：

10.1016/j.cam.2009.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

To approximate a common fixed point of a countable family of continuous pseudocontractive mappings, we introduce an implicit iteration sequence. A necessary and sufficient condition for the convergence of a sequence of such iterates for countably many continuous pseudocontractive mappings is given. We also prove the convergence theorems of an implicit iteration sequence for a countable family of strictly pseudocontractive mappings. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1108 / 1116

页数：9

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