Generalized contractions in metric spaces endowed with a graph

Fixexd point theory and applications

Gabriela Petruş¹  el²  Cristian Chifu² 

[1] -Bolyai University Cluj-Napoca, Cluj-Napoca, Romania;Department of Business, Babeş

关键词: metric space;    connected graph;    fixed point;    graphic contraction;    almost contraction;    generalized contraction;   

DOI  :  10.1186/1687-1812-2012-161

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A very interesting approach in the theory of fixed points in some general structures was recently given by Jachymski (Proc. Amer. Math. Soc. 136:1359-1373, 2008) and Gwóźdź-Lukawska and Jachymski (J. Math. Anal. Appl. 356:453-463, 2009) by using the context of metric spaces endowed with a graph. The purpose of this article is to present some new fixed point results for graphic contractions and for Ćirić-Reich-Rus G-contractions on complete metric spaces endowed with a graph. The particular case of almost contractions is also considered. MSC:47H10, 54H25.

【 授权许可】

CC BY