Fixed point results for Perov type F-contractions and an application

被引:0
作者
Ishak Altun
Murat Olgun
机构
[1] Ton Duc Thang University,Nonlinear Analysis Research Group
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] Ankara University,Department of Mathematics, Faculty of Science
来源
Journal of Fixed Point Theory and Applications | 2020年 / 22卷
关键词
Fixed point; vector-valued metric; eigenvalues; eigenvectors; -contraction; Primary 54H25; Secondary 47H10; 65F15;
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摘要
In the present paper, we introduce the concept of F-contraction on vector-valued metric space. Then, we achieved a fixed point result that includes the famous Perov fixed point theorem as properly. We provided a nontrivial and illustrative example showing this fact. Finally, we give an existence result for semilinear operator system in a Banach space.
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