摘要
研究度量空间上两个自映射f,g在部分交换条件下的公共不动点问题.Pan t等人用不等式条件去肯定f,g在等值点的值是f,g的公共不动点.探求条件,使得叠代产生的f,g的等值点列的极限为f,g的公共不动点更切合实际.定理2.1和定理2.3是这方面研究的两个结果,定理2.2拓展了Banach压缩映射原理.
This paper studies on the common fixed point of two self-maps, f and g, under partial commutation in a metric space. In Part 1 and 2, inequality condition （ae） is employed to argue that the value of f and g at the coincidence point is the common fixed point of them. It is believed more practical to search for conditions to make the limit of the coincidence points sequence of ./＂and g iteratively happened in partial commutation be the common fixed point of f and g. Theorem 2.1 and 2.3 in the paper are the two research findings while Theorem 2.2 has developed Banach＇s contraction mapping principle,
出处
《数学的实践与认识》
CSCD
北大核心
2006年第9期361-364,共4页
Mathematics in Practice and Theory
关键词
压缩型条件
部分交换映射
公共不动点
contractive type conditions t partial commutative mapping
common fixed point
