偏序Menger PSM-空间中的耦合重合点定理

Some Coupled Coincidence Point Theorems in PartiallyOrdered Menger PSM-Space

引入Menger概率S-度量空间的概念,研究其拓扑性质,基于混合g-单调映射的概念,在偏序Menger PSM-空间中,证明了自映象对满足ϕ-压缩条件下的耦合重合点和耦合公共不动点定理和推论,并给出例子验证新结果的有效性.

In this paper, we introduce a new concept of metric space, which is called Menger probabilistic S-metric space and investigate some property. On the basis of mixed g-monotone mapping,some coupled coincidence and coupled common fixed point theorems and corollaries are proved under φ-contractive condition for self-maps in partially ordered Menger PSM-Space. Meantime, a specific example is provided to support the new result.