严今石, 朴勇杰, 南华. 复值度量空间上Banach收缩原理和〖KH*2〗I-膨胀映射的不动点定理[J]. 云南大学学报(自然科学版), 2014, 36(2): 162-167. doi: 10.7540/j.ynu.20130385
引用本文: 严今石, 朴勇杰, 南华. 复值度量空间上Banach收缩原理和〖KH*2〗I-膨胀映射的不动点定理[J]. 云南大学学报(自然科学版), 2014, 36(2): 162-167. doi: 10.7540/j.ynu.20130385
YAN Jin-shi, PIAO Yong-jie, NAN Hua. Banach contractive principle and fixed point theorem for I-expansivemappings on complex valued metric spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(2): 162-167. DOI: 10.7540/j.ynu.20130385
Citation: YAN Jin-shi, PIAO Yong-jie, NAN Hua. Banach contractive principle and fixed point theorem for I-expansivemappings on complex valued metric spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(2): 162-167. DOI: 10.7540/j.ynu.20130385

复值度量空间上Banach收缩原理和〖KH*2〗I-膨胀映射的不动点定理

Banach contractive principle and fixed point theorem for I-expansivemappings on complex valued metric spaces

  • 摘要: 构造复值度量空间上的收敛序列并证明该序列的唯一极限正是满足由两个实值函数决定的收缩条件或I-膨胀条件的映射的唯一不动点.所得结论推广和改进了实度量空间上的Banach收缩原理和I-膨胀映射的不动点定理.

     

    Abstract: The convergent sequences in complex valued metric spaces are constructed,and that the unique limits of the sequences are the unique fixed points of the mappings satisfying contractive conditions or I-expansive conditions determined by two real functions is proved.The obtained results generalize and improve the Banach contractive principle and the fixed point theorem of the I-expansive mapping on real metric spaces.

     

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