On monotone nonexpansive mappings in L1 ([0,1])

被引：0

作者：

Khamsi, Mohamed Amine ^{[1
]}

Khan, Abdul Rahim ^{[2
]}

机构：

[1] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

convergence almost everywhere; fixed point; Ishikawa iteration; Krasnoselskii iteration; Lebesgue measure; monotone mapping; nonexpansive mapping; PARTIALLY ORDERED SETS; FIXED-POINTS;

D O I：

10.1186/s13663-015-0346-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let the set be nonempty, convex and compact for the convergence almost everywhere and be a monotone nonexpansive mapping. In this paper, we study the behavior of the Krasnoselskii-Ishikawa iteration sequence defined by , , . Then we prove a fixed point theorem for these mappings. Our result is new and was never investigated.

引用

页码：1 / 5

页数：5

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