Existence of Solutions for Generalized Vector Variational-like Inequalities

L. C. Ceng, S. Schaible and J. C. Yao ()
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L. C. Ceng: Shanghai Normal University
S. Schaible: University of California
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2008, vol. 137, issue 1, No 11, 133 pages

Abstract: Abstract In this paper, we consider a generalized vector variational-like inequality problem (for short, GVVLIP), which includes generalized vector variational inequalities, vector variational inequalities and classical variational inequalities as special cases. The concepts of generalized C-pseudomonotone-like and generalized H-hemicontinuous-like operators are introduced. Some existence results for GVVLIP are obtained under the assumptions of generalized C-pseudomonotone-like property and generalized H-hemicontinuous-like property. These results appear to be new and interesting. New existence results of the classical variational inequality are also obtained.

Keywords: Generalized vector variational-like inequalities; Generalized pseudomonotone-like operators; Generalized hemicontinuous-like operators; Variational inequalities (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-007-9336-4

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