Clark’s fixed point theorem on a complete random normed module

Journal of inequalities and applications

Yujie Yang¹ 

关键词: random normed module;    \((\varepsilon,\lambda)\);    locally \(L^{0}\);    Clark’s fixed point theorem;    58E30;    47H10;    46H25;    46A20;   

DOI  :  10.1186/s13660-015-0798-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Motivated by the recent results in random metric theory, we establish Clark’s fixed point theorem on complete random normed modules under two kinds of topologies. When the base space of the random normed module is trivial, our results automatically degenerate to the classical case.

【 授权许可】

CC BY