Topological aspects of weighted graphs with application to fixed point theory

M. R. Alfuraidan

doi:10.1016/j.amc.2017.06.032

Topological aspects of weighted graphs with application to fixed point theory

M. R. Alfuraidan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this work, we introduce new concepts of G-monotone sequences, G-bounded and G_τ-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.

Original language	English
Pages (from-to)	287-292
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	314
DOIs	https://doi.org/10.1016/j.amc.2017.06.032
State	Published - 1 Dec 2017

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

Keywords

Convergence almost everywhere
Directed graph
Fixed point
Monotone sequence
Nonexpansive mapping
Weighted graph

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2017.06.032

Cite this

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title = "Topological aspects of weighted graphs with application to fixed point theory",

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",

author = "Alfuraidan, \{M. R.\}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

month = dec,

day = "1",

doi = "10.1016/j.amc.2017.06.032",

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AB - 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.

KW - Convergence almost everywhere

KW - Directed graph

KW - Fixed point

KW - Monotone sequence

KW - Nonexpansive mapping

KW - Weighted graph

UR - https://www.scopus.com/pages/publications/85024874334

U2 - 10.1016/j.amc.2017.06.032

DO - 10.1016/j.amc.2017.06.032

M3 - Article

AN - SCOPUS:85024874334

SN - 0096-3003

VL - 314

SP - 287

EP - 292

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Topological aspects of weighted graphs with application to fixed point theory

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this