Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 808-817.

• Articles • Previous Articles     Next Articles

Generalized Projection Methods for Noor Variational Inequalities in Banach Spaces

 XU Yong-Chun1, HE Xin-Feng2, HOU Zhi-Bin2, HE Zhen2**   

  1. 1. Department of Mathematics, Hebei North College, Hebei Zhangjiakou 075000|
    2. College of Mathematics and Computer, Hebei University, Hebei Baoding 071002
  • Received:2008-12-11 Revised:2009-10-08 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    教育部重点课题项目(207104)、 国家自然科学基金项目(60873203)和张家口市科学技术研究与发展计划项目(0811024B-5)资助

Abstract:

In this paper, we suggest and analyze generalized projection methods for finding the  elements of the set of solutions of the generalized  variational inequalities. We also consider the convergence analysis of the suggested iterative schemes under some mild conditions. Since the generalized variational inequalities include variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. Results obtained in this paper may be viewed as an refinement and improvement of the previously known results.

Key words: Generalized projection mapping, Generalized variational inequalities, Uniformly smooth Banach space, Lyapunov functional

CLC Number: 

  • 47H05
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