Random fixed point theorem on a Ćirić-type contractive mapping and its consequence

Fixexd point theory and applications

Anamika Ganguly¹  M Saha² 

[1] Burdwan Railway Balika Vidyapith High School, Khalasipara, Burdwan, India;Department of Mathematics, The University of Burdwan, Burdwan, India

关键词: complete probability measure space;    random variable;    random solution;    random fixed point equation;    Bochner integral;   

DOI  :  10.1186/1687-1812-2012-209

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The main purpose of this paper is to prove a random fixed point theorem in a separable Banach space equipped with a complete probability measure for a certain class of contractive mappings. The main finding of this paper is the identification of some random fixed point theorems and the relevant application with appropriate supporting examples. A random fixed point theorem is useful to determine the existence of a solution in a Banach space of a random nonlinear integral equation. MSC:47H10, 60H25.

【 授权许可】

CC BY