锥度量空间中c-距离下非连续映射的公共不动点定理

New common fixed point results under c-distance for non-continuous mapping in cone metric spaces

在不要求映射的连续性,也不要求锥的正规性的条件下,获得了锥度量空间中,c-距离下两个映射的公共不动点定理.定理的结论上不仅得到了公共不动点的存在性,还得到其唯一性,改进和推广了原有的许多重要结果,同时给出了相应的例子.

In this paper,some new common fixed point results for two contractive mappings under c-distance in cone metric spaces are obtained,without appealing to continuous for mapping or normality for cone in the conditions.Furthermore,not only the existence but also the uniqueness of the common fixed point is gained.The results improve and generalize some well-known comparable results.Some supporting examples are given.