摘要
引进了一个5元实函数类Γ,并考虑了满足积分型收缩条件的4个映射,证明了具有交换点且满足反交换性的映射族的唯一公共不动点存在定理.同时,给出了若干个特殊结果.所得结果推广和改进了很多Banach收缩原理的推广结果.
A 5-dimensional real functional sets Г is introduced, four mappings satisfying some contractive condition of integral type on W-spaces are considered, and a unique common fixed point theorem for four mappings with commuting points and converse commuting property is proved.At the same time ,some particular forms are given.The obtained results here generalize and improve many generalizations of Banach contraction principle.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2015年第5期649-653,共5页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金(11361064)
关键词
W-空间
反交换映射族
交换点
类Γ
类Υ
公共不动点
W-space
converse commuting mappings
commuting point
setГ
setY
common fixed point
