W-空间上满足积分型收缩条件的4个映射的公共不动点  

Common fixed points for four mappings satisfying contractive conditions of integral type on W-Spaces

作　　者：朴勇杰[1] 金星[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《云南大学学报（自然科学版）》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)

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.

关 键 词：W-空间 反交换映射族 交换点 类Γ 类Υ 公共不动点 

分 类 号：O177.91[理学—数学]