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.