Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems-Reference-Cited by-同舟云学术

Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems

Published:2015 Issue: Volume:2015 Page:1-16
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Dinevari T.¹,Frigon M.¹

Affiliation:

1. Département de Mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, QC, Canada H3C 3J7

Abstract

We apply a fixed point result for multivalued contractions on complete metric spaces endowed with a graph to graph-directed iterated function systems. More precisely, we construct a suitable metric space endowed with a graphGand a suitableG-contraction such that its fixed points permit us to obtain more information on the attractor of a graph-directed iterated function system.

Funder

CRSNG Canada

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/345856.pdf

Reference16 articles.

1. A fixed point theorem in partially ordered sets and some applications to matrix equations

2. Fixed point theorems in ordered abstract spaces

3. Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

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