陶陶, 薛西锋. D*-度量空间中次相容映象对的公共不动点定理[J]. 云南大学学报(自然科学版), 2020, 42(1): 1-5. doi: 10.7540/j.ynu.20190203
引用本文: 陶陶, 薛西锋. D*-度量空间中次相容映象对的公共不动点定理[J]. 云南大学学报(自然科学版), 2020, 42(1): 1-5. doi: 10.7540/j.ynu.20190203
TAO Tao, XUE Xi-feng. Some new fixed point theorems for pairs of sub-compatible maps in D*-metric spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(1): 1-5. DOI: 10.7540/j.ynu.20190203
Citation: TAO Tao, XUE Xi-feng. Some new fixed point theorems for pairs of sub-compatible maps in D*-metric spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(1): 1-5. DOI: 10.7540/j.ynu.20190203

D*-度量空间中次相容映象对的公共不动点定理

Some new fixed point theorems for pairs of sub-compatible maps in D*-metric spaces

  • 摘要: 基于D*-度量空间,首次引入次相容映象对和次序列连续映象对的概念,在去掉空间完备性的基础上证明了4个次相容且相对连续自映象的公共不动点问题.所得结果丰富了D*-度量空间的公共不动点理论.

     

    Abstract: Based on the complete D*-metric spaces, the notions of mapping pair sub-compatibility are firstly put forward, then the existence and uniqueness of common fixed point for four self-mappings are discussed, some new fixed point theorems are proved, which improved several relative results largely.

     

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