Existence of Solutions for Generalized Vector Variational-like Inequalities |
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| Authors: | L. C. Ceng S. Schaible J. C. Yao |
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| Affiliation: | (1) Department of Mathematics, Shanghai Normal University, Shanghai, China;(2) A.G. Anderson Graduate School of Management, University of California, Riverside, CA, USA;(3) Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan |
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| 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. In this research, the first author was partially supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, China and the Dawn Program Foundation in Shanghai. The third author was partially supported by Grant NSC 94-2213-E-110-035. |
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| Keywords: | Generalized vector variational-like inequalities Generalized pseudomonotone-like operators Generalized hemicontinuous-like operators Variational inequalities |
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