Random fixed point theorem of Krasnoselskii type for the sum of two operators

Fixexd point theory and applications

Somyot Plubtieng¹  Areerat Arunchai¹ 

[1] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand

关键词: random fixed point;    Krasnoselskii type;    weakly-strongly continuous random operator;    nonexpansive random operator;   

DOI  :  10.1186/1687-1812-2013-142

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove some random fixed point theorem for the sum of a weakly-strongly continuous random operator and a nonexpansive random operator in Banach spaces. Our results are the random versions of some deterministic fixed point theorems of Edmund (Math. Ann. 174:233-239, 1967), O’Regan (Appl. Math. Lett. 9:1-8, 1996) and some known results in the literature.

【 授权许可】

CC BY