摘要
自锥度量空间的概念被提出以来,已经有数位学者对其结构和性质进行了探讨,本文研究了锥度量空间中的广义压缩映象不动点的存在性问题,放宽了映象的压缩条件,同时本文还研究了锥度量空间中广义压缩映象对的公共不动点的存在性问题。这些结论推广了近期的结论,同时也是对度量空间中经典结论的推广。
Since the notation of cone metric spaces was raised, several authors have studied its constructions and properties. The results on the existence of fixed points of generalized contractive mappings were extended by relaxing the contractive conditions. The existence of corranon fixed points of generalized contractive mapping pairs was also discussed. The obtained results extend the recent relative results and the classical theorems in metric spaces.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2008年第5期82-86,92,共6页
Journal of Shandong University(Natural Science)
关键词
锥度量空间
不动点
广义压缩映象
压缩映象对
cone metric spaces
fixed points
generalized contractive mappings
contractive mapping pairs
