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arXiv 2411.03472math.FA
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度量空间中带方向图的g-近似最佳邻近对

g-approximate best proximity pairs in metric space with a directed graph

Mohsenialhosseini, Saheli

AI总结:

研究带方向图的度量空间中映射的G-近似最佳邻近对存在性,给出了充分条件。

摘要:

设(X,d)为具有有向图G的度量空间,使得集合V(G)和E(G)分别对应于X的顶点和边。我们在赋予图G的度量空间X中,且G的顶点集V(G)与X重合的条件下,获得了映射T存在G-近似最佳邻近对的充分条件。

英文摘要:

Let(X,d) be a metric space that has a directed graph G such that the sets V(G) and E(G) are respectively vertices and edges corresponding to X. We obtain sufficient conditions for the existence of an G-approximate best proximity pair of the mapping T in the metric space X endowed with a graph G such that the set V(G) of vertices of G coincides with X.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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