A New Fixed Point Result of Perov Type and Its Application to a Semilinear Operator System

Mathematics

卷:7

HamedH. Al-Sulami¹  Nawab Hussain²  Muhammad Qasim³  Ishak Altun⁴ 

[1] Technology (NUST), H-12, Islamabad 44000, Pakistan;

[2] Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;

[3] Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences &

[4] Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam;

关键词: fixed point;    vector-valued metric;    eigenvalues;    eigenvectors;    θ-contraction;   

DOI  :  10.3390/math7111019

来源: DOAJ

【 摘 要 】

In this paper, we present a new generalization of the Perov fixed point theorem on vector-valued metric space. Moreover, to show the significance of our result, we present both a nontrivial comparative example and an application to a kind of semilinear operator system about the existence of its solution.

【 授权许可】

Unknown