Topological aspects of weighted graphs with application to fixed point theory

M.R. Alfuraidan

Applied Mathematics and Computation, 2017, vol. 314, issue C, 287-292

Abstract: 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.

Keywords: Convergence almost everywhere; Directed graph; Fixed point; Monotone sequence; Nonexpansive mapping; Weighted graph (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:314:y:2017:i:c:p:287-292

DOI: 10.1016/j.amc.2017.06.032

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