International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 12, Pages 1879-1887
doi:10.1155/IJMMS.2005.1879
Fixed point index approach for solutions of variational inequalities
Yisheng Lai1
, Yuanguo Zhu2
and Yinbing Deng3
1College of Statistics and Computer Science, Zhejiang Gongshang University, Hangzhou 310035, China
2Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China
3Department of Mathematics, Central China Normal University, Wuhan 430079, China
Abstract
By using fixed point index approach for multivalued mappings, the existence of nonzero solutions for a class of generalized variational inequalities is studied in reflexive Banach space. One of the mappings concerned here is coercive or monotone and the other is set-contractive or upper semicontinuous.