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

Ishak Altun, Nawab Hussain, Muhammad Qasim and Hamed H. Al-Sulami
Additional contact information
Ishak Altun: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Nawab Hussain: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Muhammad Qasim: Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences & Technology (NUST), H-12, Islamabad 44000, Pakistan
Hamed H. Al-Sulami: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Mathematics, 2019, vol. 7, issue 11, 1-10

Abstract: 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.

Keywords: fixed point; vector-valued metric; eigenvalues; eigenvectors; ? -contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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