East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A SYSTEM OF NONLINEAR PROJECTION EQUATIONS WITH PERTURBATION IN HILBERT SPACES

  • Zhou, Li-Wen (DEPARTMENT OF MATHEMATICS, SICHUAN UNIVERSITY) ;
  • Cho, Yeol-Je (DEPARTMENT OF MATHEMATICS EDUCATION AND THE RINS, GYEONGSANG NATIONAL UNIVERSITY) ;
  • Huang, Nan-Jing (DEPARTMENT OF MATHEMATICS, SICHUAN UNIVERSITY)
  • Published : 2008.04.30
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Abstract

In this paper, we introduce and studied a system of nonlinear projection equations with perturbation in Hilbert spaces. By using the fixed point theorem, we prove an existence of solution for this system of nonlinear projection equations. We construct an algorithm for approximating the solution of the system of nonlinear projection equations with perturbation and show that the iterative sequence generated by the algorithm converges to the solution of the system of nonlinear projection equations with perturbation under some suitable conditions.

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