Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON SOLVABILITY AND ALGORITHM OF GENERAL STRONGLY NONLINEAR VARIATIONAL-LIKE INEQUALITIES

  • Liu Zeqing (DEPARTMENT OF MATHEMATICS, LIAONING NORMAL UNIVERSITY) ;
  • Sun, Juhe (DEPARTMENT OF MATHEMATICS, LIAONING NORMAL UNIVERSITY) ;
  • Shim, Soo-Hak (DEPARTMENT OF MATHEMATICS AND RESEARCH INSTITUTE OF NATURAL SCIENCE, GYEONGSANG NATIONAL UNIVERSITY) ;
  • Kang, Shin-Min (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
  • Published : 2006.05.01
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Abstract

In this paper, a new class of general strongly nonlinear variational-like inequalities was introduced and studied. The existence and uniqueness of solutions and a new iterative algorithm for the general strongly nonlinear variational-like inequality are established and suggested, respectively. The convergence criteria of the iterative sequence generated by the iterative algorithm are also given.

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References

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