An Iterative Scheme for the System of Generalized Variational Inequalities in Banach Spaces
Received:July 28, 2009  Revised:April 26, 2010
Key Words: generalized variational inequality   generalized $f$-projection operator   compact operator   lower semi-continuity   positively homogeneous.  
Fund Project:Supported by the Natural Science Youth Foundation of Hebei Province (Grant Nos.A2011201053; A2010000191) and the Natural Science Youth Foundation of Hebei Education Commission (Grant No.2010110).
Author NameAffiliation
Ying LIU College of Mathematics and Computer, Hebei University, Hebei 071002, P. R. China 
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Abstract:
      In this paper, we propose an iterative method of approximating solutions for a class of the system of generalized variational inequalities and give a convergence result for the iterative method in uniformly convex and uniformly smooth Banach spaces.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.04.017
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