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.
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页码：1 / 5
页数：5
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