半序度量空间中随机映射对的三元随机重合点定理

Tripled Coincidence Point Theorems of a Pair of Random Functions in Partially Ordered Metric Spaces

本文在完备可分的半序度量空间中,引入随机映射对F∶Ω×X×X×X→X与g∶Ω×X→X的随机g-混合单调性质以及随机可交换性质的定义,研究该映射对满足不同压缩条件下的三元随机重合点与三元随机不动点问题,所得结果推广已有文献中的一些随机不动点定理.

In this paper, we introduced the concept of random g-mixed monotone property and random commutative property for a pair of random mappings Ω×X×X×X→X and g： Ω×X→X and studied the existence of tripled random coincidence points and tripled ran- dom fixed points for such pair of mappings under various contractive conditions in partially ordered metric spaces which is complete and separable. Many new results are obtained, which generalize some results in the corresponding literatures.