摘要
在完备的度量空间上利用满足具有某种变系数的收缩条件或φ-收缩条件的两个集值映射构造了一个收敛序列,然后证明了该序列的唯一极限就是两个映射的公共不动点并给出了映射族存在唯一公共不动点的充分条件,同时给出了几个特殊结果.所得结果推广和改进了一些已有的结论.
In this paper,we use a pare of mappings satisfying contractive condition with some variable coefficients or φ-contractive condition to construct a convergent sequence,and prove that the unique limit of the sequence is the common fixed point of the two mappings and give sufficient conditions that the pare of mappings have an unique common fixed point,and then give several particular conclusions.The obtained results in this paper generalize and improve some known results.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2014年第3期700-707,共8页
Acta Mathematica Scientia
基金
国家自然科学基金(11361064
11261062)
吉林省教育厅科研项目(吉教科合字[2011]第434号)资助
