$ϕ$ -序$G$ -度量空间中的$n$ -元组不动点
$n$-tuple fixed point in $ϕ$-ordered $G$-metric spaces
摘要:
在不动点理论的研究中,我们使用了三种开创性的方法,即所谓的$G$ -度量,多维不动点和偏序空间。更准确地说,我们推广已知的结果从理论的准伪度量空间的$G$ -度量空间设置。特别地,我们证明了$n$ -元组不动点的存在性.公共$n$ -元组不动点)用于非递减映射(分别为一对弱相关映射)在$ϕ$ -序$G$ -度量空间中的映射.
英文摘要:
We use three seminal approaches in the study of fixed point theory, the so called $G$-metrics, multidimensional fixed points and partially ordered spaces. More precisely, we extend known results from the theory of quasi-pseudometric spaces to the $G$-metric space setting. In particular, we show the existence of $n$-tuple fixed points (resp. common $n$-tuple fixed point) for a non-decreasing mapping (resp. a pair of weakly related mappings) in a $ϕ$-ordered $G$-metric space.
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