Existence Theorem of Solutions for Mixed Variational Inequality in Banach Spaces
Received:April 03, 2008  Revised:July 07, 2008
Key Word: mixed variational inequality   generalized $f$-projection operator   existence theorem   FKKM theorem.  
Fund ProjectL:Supported by the Scientific Research Fund of Sichuan Provincial Education Department (Grant No.\,07ZA098), a grant from the ``project 211(Phase III)'' and the Scientific Research Fund of the Southwestern University of Finance and Economics.
Author NameAffiliation
Qing Bang ZHANG College of Economic Mathematics, Southwestern University of Finance and Economics, Sichuan 611130, P. R. China 
Liu LIU Department of Mathematics, Sichuan University of Arts and Science, Sichuan 635000, P. R. China 
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Abstract:
      By using the property of generalized $f$-projection operator and FKKM theorem, the existence theorem of solutions for the mixed variational inequality is proved under weaker assumption in reflexive and smooth Banach space. The results improve and extend the corresponding results shown recently.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.02.016
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