偏序度量空间上ρ或σ-拟收缩的两个映射的公共不动点

Common Fixed Points for Two Mappings with ρ orσ-Quasi-Contractions on Partially Ordered Metric Spaces

【目的】在偏序的度量空间上讨论两个映射的公共不动点的存在问题。【方法】研究在具有偏序的实度量空间上满足由两个实函数ρ和σ决定的拟收缩条件的两个映射的性质。【结果】得到了这两个映射在连续或非连续条件下具有唯一公共不动点的存在定理,同时给出了不动点存在定理。【结论】所得结果推广和改进了已有文献中的相应结论。

[Purposes]It is discussed that the existence problems of common fixed points for two mappings on partially ordered metric spaces.[Methods]Consider two mappings satisfying quasi-contractive conditions determined by two real functionsρandσ on partially ordered real metrics.[Findings]Obtain the existence theorems of unique common fixed point under continuous or noncontinuous conditions,and also give some fixed point theorems.[Conclusions]The obtained results extend and improve the corresponding conclusions in references.