Fixed point results on subgraphs of directed graphs-Reference-Cited by-同舟云学术

Fixed point results on subgraphs of directed graphs

Published:2013-08-19 Issue:1 Volume:7 Page:
ISSN:2008-1359
Container-title:Mathematical Sciences
language:en
Short-container-title:Math Sci

Author:

Aleomraninejad SMA,Rezapour Sh,Shahzad N

Abstract

Abstract In this paper, we obtain some fixed point results on subgraphs of directed graphs. We show that the Caristi fixed point theorem and a version of Knaster-Tarski fixed point theorem are special cases of our results. 2010 MSC 47H10; 05C20; 54H25

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Link

https://link.springer.com/content/pdf/10.1186/2251-7456-7-41.pdf

Reference9 articles.

1. Echenique F: A short and constructive proof of Tarski’s fixed point theorem. Internat. J. Game Theory 2005,33(2):215–218. 10.1007/s001820400192

2. Espinola R, Kirk WA: Fixed point theorems in R-trees with applications to graph theory. Topology Appl 2006, 153: 1046–1055. 10.1016/j.topol.2005.03.001

3. Jachymski J: The contraction principle for mappings on a metric space with a graph. Proc. Amer. Math. Soc 2008,136(4):1359–1373.

4. Beg I, Butt AR, Radojevic S: The contraction principle for set valued mappings on a metric space with a graph. Comput. Math. Appl 2010, 60: 1214–1219. 10.1016/j.camwa.2010.06.003

5. Reich S, Zaslavski AJ: Convergence of inexact iterative schemes for nonexpansive set-valued mappings. Fixed Point Theory Appl 2010, 2010: 518243. 10.1155/2010/518243

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Common Fixed Points Via R-Functions and Digraphs with an Application to Homotopy Theory;Iranian Journal of Mathematical Sciences and Informatics;2023-10-01

2. Fixed Point Results for Generalized Contraction Mappings and Cyclical Mappings in b-Metric Spaces Endowed with a Digraph;Annals of West University of Timisoara - Mathematics and Computer Science;2019-12-01

3. Common Fixed Points in Generalized Metric Spaces with a Graph;Journal of Mathematics;2019-02-03

4. Some Fixed Point Results on Rectangular Metric-Like Spaces Endowed with a Graph;Symmetry;2018-12-26

5. Fixed Points of Set Valued Mappings in Terms of Start Point on a Metric Space Endowed with a Directed Graph;Mathematics;2017-04-19