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

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Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences & Technology (NUST), H-12, Islamabad 44000, Pakistan
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1019; https://doi.org/10.3390/math7111019
Received: 24 September 2019 / Revised: 23 October 2019 / Accepted: 24 October 2019 / Published: 28 October 2019
(This article belongs to the Special Issue Fixed Point Theory and Dynamical Systems with Applications)
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. View Full-Text
Keywords: fixed point; vector-valued metric; eigenvalues; eigenvectors; θ-contraction fixed point; vector-valued metric; eigenvalues; eigenvectors; θ-contraction
MDPI and ACS Style

Altun, I.; Hussain, N.; Qasim, M.; Al-Sulami, H.H. A New Fixed Point Result of Perov Type and Its Application to a Semilinear Operator System. Mathematics 2019, 7, 1019.

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