Random fixed point theorems in partially ordered metric spaces

Fixexd point theory and applications

Juan J Nieto¹  Abdelghani Ouahab³  pez⁴  guez-Ló⁷  Rosana Rodrí⁸ 

[1] Departamento de AnáLaboratory of Mathematics, Sidi-Bel-Abbèlise Matemán, Facultade de Matemás University, Sidi-Bel-Abbès, Algeria;stica e Optimizaciótica, Estatíticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

关键词: fixed point;    partially ordered set;    random operator;    random differential equation;    47H10;    47H30;    54H25;   

DOI  :  10.1186/s13663-016-0590-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We present the random version in partially ordered metric spaces of the classical Banach contraction principle and some of its generalizations to ordered metric spaces. The results are used to prove the existence of solutions for random differential equations with boundary conditions.

【 授权许可】

CC BY