Topological aspects of weighted graphs with application to fixed point theory
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摘要
In this work, we introduce new concepts of G-monotone sequences, G-bounded and Gτ-compact nonempty subsets of the set of vertices of a weighted digraph G, where τ is a sequential convergence. We also provide an application to metric fixed point theory.
论文关键词：Convergence almost everywhere,Directed graph,Fixed point,Monotone sequence,Nonexpansive mapping,Weighted graph
论文评审过程：Received 26 April 2016, Revised 3 May 2017, Accepted 24 June 2017, Available online 19 July 2017, Version of Record 19 July 2017.
论文官网地址：https://doi.org/10.1016/j.amc.2017.06.032
