| Existence Theorem of Solutions for Mixed Variational Inequality in Banach Spaces |
| Received:April 03, 2008 Revised:July 07, 2008 |
| Key Words:
mixed variational inequality generalized $f$-projection operator existence theorem FKKM theorem.
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| Fund Project: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. |
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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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