East Asian mathematical journal

  • 제27권5호
  • /
  • Pages.585-595
  • /
  • 2011
  • /
  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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EXISTENCE AND ITERATIVE APPROXIMATIONS OF SOLUTIONS FOR STRONGLY NONLINEAR VARIATIONAL-LIKE INEQUALITIES

  • Li, Jin-Song (Department of Technology, Tieling Normal College) ;
  • Sun, Ju-He (Department of Science, Shenyang Aerospace University) ;
  • Kang, Shin-Min (Department of Mathematics and RINS, Gyeongsang National University)
  • 투고 : 2011.06.09
  • 심사 : 2011.09.01
  • 발행 : 2011.11.30
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초록

In this paper, we introduce and study a new class of strongly nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for the class of strongly nonlinear variational- like inequalities. By making use of the auxiliary principle technique, we suggest an iterative algorithm for the strongly nonlinear variational-like inequality and give the convergence criteria of the sequences generated by the iterative algorithm.

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