Fixed Points of -Type Quasi-Contractions on Graphs-Reference-Cited by-同舟云学术

Fixed Points of -Type Quasi-Contractions on Graphs

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Haghi R. H.¹,Rezapour Sh.²,Shahzad N.³^ORCID

Affiliation:

1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

2. Department of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, Iran

3. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi Arabia

Abstract

Recently, fixed point theory on graphs has been considered by many authors. In this paper, by combining some ideas in some published papers and introducing -type quasi-contractions, we give some fixed point results for -type quasi-contractions on graphs. The results improve some old results in the literature.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/167530.pdf

Reference18 articles.

1. Quasi-contraction on a cone metric space

2. Remarks on “Quasi-contraction on a cone metric space”

3. Some notes on fixed points of quasi-contraction maps

4. Fixed point theory for set-valued quasi-contraction maps in metric spaces

5. On fixed points of quasi-contraction type multifunctions

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