East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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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)
  • Received : 2011.06.09
  • Accepted : 2011.09.01
  • Published : 2011.11.30
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Abstract

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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