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  • 标题:Auxiliary principle for generalized nonlinear variational-like inequalities
  • 本地全文:下载
  • 作者:Zeqing Liu ; Haiyan Gao ; Shin Min Kang
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2006
  • 卷号:2006
  • DOI:10.1155/IJMMS/2006/95723
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We introduce and study a new class of generalized nonlinear variational-like inequalities and prove an existence theorem of solutions for this kind of generalized nonlinear variational-like inequalities. By using the auxiliary principle technique, we construct a new iterative scheme for solving the class of the generalized nonlinear variational-like inequalities. The convergence of the sequence generated by the iterative algorithm is also discussed. Our results extend and unify the corresponding results due to Ding, Liu, Ume, Kang, Yao, and others.
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