2-度量空间上满足若干个膨胀条件的两个映射的公共不动点

朴勇杰

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (11) : 1370-1379.

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PDF(299 KB)
系统科学与数学 ›› 2013, Vol. 33 ›› Issue (11) : 1370-1379. DOI: 10.12341/jssms12213
论文

2-度量空间上满足若干个膨胀条件的两个映射的公共不动点

    朴勇杰
作者信息 +

COMMON FIXED POINTS FOR TWO MAPPINGS SATISFYING SOME EXPANSIVE CONDITIONS ON 2-METRIC SPACES

    PIAO Yongjie
Author information +
文章历史 +

摘要

在2-度量空间上通过构造收敛序列讨论并证明了满足若干个膨胀型条件的两个映射的公共不动点的存在定理,并给出具有唯一公共不动点和唯一不动点的充分条件.
所得结果是有关文献中已知结果在2-度量空间上的表现形式和推广形式.

Abstract

We discuss and obtain the existence theorems of common fixed points for two mappings satisfying some expansion conditions by constructing convergent
sequences on 2-metric spaces, and give the sufficient conditions of the existence of unique common fixed point and unique fixed point. The obtained results are the versions and generalizations of the known conclusions in the corresponding references on 2-metric spaces.

关键词

膨胀映射 /   / 重合点 / 公共不动点 / 不动点.

Key words

Expansion mapping,  / coincidence point, common fixed point, fixed poin.

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朴勇杰. 2-度量空间上满足若干个膨胀条件的两个映射的公共不动点. 系统科学与数学, 2013, 33(11): 1370-1379. https://doi.org/10.12341/jssms12213
PIAO Yongjie. COMMON FIXED POINTS FOR TWO MAPPINGS SATISFYING SOME EXPANSIVE CONDITIONS ON 2-METRIC SPACES. Journal of Systems Science and Mathematical Sciences, 2013, 33(11): 1370-1379 https://doi.org/10.12341/jssms12213
中图分类号: 47H05    47H10    54E40   
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