锥度量空间上两个膨胀映射的重合点和公共不动点定理的推广

朴勇杰

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (8) : 1014-1024.

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PDF(317 KB)
系统科学与数学 ›› 2014, Vol. 34 ›› Issue (8) : 1014-1024. DOI: 10.12341/jssms12396
论文

锥度量空间上两个膨胀映射的重合点和公共不动点定理的推广

    朴勇杰
作者信息 +

GENERALIZATIONS OF COINCIDENCE AND COMMON FIXED THEOREMS FOR TWO EXPANSIVE MAPPINGS ON CONE METRIC SPACES

    PIAO Yongjie
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摘要

指出了文献中的出现的一些定理的错误证明和多余条件, 并利用新的方法和思路给出了锥度量空间上满足较弱条件的两个膨胀映射族的重合点和公共不动点存在定理. 所得结论推广和改进了文献中的一些已知结果, 同时主要定理的证明是非常简单的.

Abstract

We point out some incorrect proofs and superfluous conditions of some known theorems appeared in some references, and use new methods and ideas to give existence theorems of coincidence points and common fixed points of two expansive mappings satisfying some weaker conditions on cone metric spaces. The obtained results generalize and improve some known conclusions in references, and the proofs of the main results are very simple and easy.

关键词

锥度量空间 / II-膨胀映射 / 重合点 / 公共不动点 / 不动点.

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朴勇杰. 锥度量空间上两个膨胀映射的重合点和公共不动点定理的推广. 系统科学与数学, 2014, 34(8): 1014-1024. https://doi.org/10.12341/jssms12396
PIAO Yongjie. GENERALIZATIONS OF COINCIDENCE AND COMMON FIXED THEOREMS FOR TWO EXPANSIVE MAPPINGS ON CONE METRIC SPACES. Journal of Systems Science and Mathematical Sciences, 2014, 34(8): 1014-1024 https://doi.org/10.12341/jssms12396
中图分类号: 47H05    47H10    54E40   
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