Generalized Vector Variational Inequalities

K. L. Lin, D. P. Yang and J. C. Yao
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K. L. Lin: National Sun Yat-Sen University
D. P. Yang: National Sun Yat-Sen University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 1997, vol. 92, issue 1, No 6, 117-125

Abstract: Abstract In this paper, we introduce a generalized vector variational inequality problem (GVVIP) which extends and unifies vector variational inequalities as well as classical variational inequalities in the literature. The concepts of generalized C-pseudomonotone and generalized hemicontinuous operators are introduced. Some existence results for GVVIP are obtained with the assumptions of generalized C-pseudomonotonicity and generalized hemicontinuity. These results appear to be new and interesting. New existence results of the classical variational inequality are also obtained.

Keywords: Generalized vector variational inequalities; generalized C-pseudomonotone operators; generalized hemicontinuous operators; variational inequalities (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (37)

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DOI: 10.1023/A:1022640130410

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