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Existence and algorithm of solutions for generalized nonlinear variational-like inequalities

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  • Zeqing Liu
  • Juhe Sun
  • Soo Hak Shim
  • Shin Min Kang

Abstract

We introduce and study a new class of generalized nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for the class of generalized nonlinear variational-like inequalities. A new iterative algorithm for finding the approximate solutions of the generalized nonlinear variational-like inequality is given and the convergence of the algorithm is also proved. The results presented in this paper improve and generalize some results in recent literature.

Suggested Citation

  • Zeqing Liu & Juhe Sun & Soo Hak Shim & Shin Min Kang, 2005. "Existence and algorithm of solutions for generalized nonlinear variational-like inequalities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:635213
    DOI: 10.1155/IJMMS.2005.1843
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