朴勇杰, 金星. W-空间上满足积分型收缩条件的4个映射的公共不动点[J]. 云南大学学报(自然科学版), 2015, 37(5): 649-653. doi: 10.7540/j.ynu.20140664
引用本文: 朴勇杰, 金星. W-空间上满足积分型收缩条件的4个映射的公共不动点[J]. 云南大学学报(自然科学版), 2015, 37(5): 649-653. doi: 10.7540/j.ynu.20140664
PIAO Yong-jie, JIN Xing. Common fixed points for four mappings satisfying contractive conditions of integral type on W-Spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2015, 37(5): 649-653. DOI: 10.7540/j.ynu.20140664
Citation: PIAO Yong-jie, JIN Xing. Common fixed points for four mappings satisfying contractive conditions of integral type on W-Spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2015, 37(5): 649-653. DOI: 10.7540/j.ynu.20140664

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

  • 摘要: 引进了一个5元实函数类,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.

     

    Abstract: A 5-dimensional real functional sets 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.

     

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