Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2016.12.22
  • Accepted : 2017.07.17
  • Published : 2018.01.01
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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

References

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