Nonzero Solutions of Generalized Variational Inequalities

Jue Li, Yisheng Lai

Department of Information and Computer Science, Zhejiang Gongshang University, Hangzhou, China.

DOI: 10.4236/am.2010.11010                

Abstract

The existence of nonzero solutions for a class of generalized variational inequalities is studied by ?xed point index approach for multivalued mappings in ?nite dimensional spaces and re?exive Banach spaces. Some new existence theorems of nonzero solutions for this class of generalized variational inequalities are established.

Keywords

Variational Inequality, Fixed Point Index of Multivalued Mappings, Nonzero Solution

Conflicts of Interest

The authors declare no conflicts of interest.

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