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http://dx.doi.org/10.4134/JKMS.j160793

APPLICATIONS OF THE COUPLED FIXED POINT THEOREM TO THE NONLINEAR MATRIX EQUATIONS  

Kim, Sejong (Department of Mathematics Chungbuk National University)
Lee, Hosoo (Department of Mathematics Sungkyunkwan University)
Publication Information
Journal of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 73-82 More about this Journal
Abstract
In this article we consider certain types of nonlinear matrix equations including the stochastic rational Riccati equation and show the existence and uniqueness of the positive definite solution by using Bhaskar-Lakshmikantham's coupled fixed point theorem.
Keywords
mixed monotone property; coupled fixed point theorem;
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