半序概率度量空间中压缩条件下的三元重合点定理

Tripled Coincidence Point Theorems under Contractive Conditions in Partially Ordered Probabilistic Metric Spaces

在完备的半序概率度量空间中建立了自映射对G∶X×X×X→X与g∶X→X,满足一定非线性压缩条件下的三元重合点与三元不动点定理,所得结果推广了已有文献中的若干二元重合点与二元公共不动点定理.最后给出主要结果的一个应用.

We establish tripled coincidence point and tripled fixed point theorems for a pair of self-mappings G:X x X x X → X and g:X→X satisfying a nonlinear contractive condition in partially ordered complete probabilistic metric spaces.The obtained results generalize some coupled coincidence and coupled common fixed point theorems in the corresponding literatures.Finally,an example is given to illustrate our main results.