On some fixed-point theorems for ψ-contraction on metric space involving a graph

被引：0
|
作者：
Mahpeyker Öztürk
Ekber Girgin
机构：
[1] Sakarya University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
connected graph; fixed point; metric space; -type contraction;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we introduce the (G,ψ)-contraction and the (G,ψ)-graphic contraction in a metric space by using a graph. We explain some conditions for a mapping which is a (G,ψ)-contraction to have a unique fixed point and also we give conditions as regards the existence of a fixed point for (G,ψ)-graphic contraction by applying the connectivity of the graph in both cases. Moreover, we give examples to show that our results are a substantial improvement of some known results in the literature.
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