W-空间上满足积分型收缩条件的映射族的公共不动点结果  

Common Fixed Point Results for Mappings Satisfying Contractive Conditions of Integral Type on W-Spaces

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《数学物理学报（A辑）》2015年第2期441-448,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[434])资助

摘　　要：引进了两个实函数类φ和ψ,考虑了在W-空间上满足两种不同积分型收缩条件的映射族,然后证明了映射族满足反交换性或具有交换点时拥有唯一公共不动点.同时,给出了若干特殊结果.所得结果推广和改进了很多Banach收缩原理的推广结果.Two real functional sets Ф and ψ are introduced, mappings satisfying two deferent contractive conditions of integral type on W-spaces are considered, and then that mappings have a unique common fixed point, if they satisfy converse commuting property or have a commuting point, 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φ 类ψ 类Υ 

分 类 号：O177.91[理学—数学]