Lower semicontinuity of the solution map to a parametric vector variational inequality |
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| Authors: | Mu Ming Wong |
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| Institution: | (1) Department of applied Mathematic, National Sun Yat-Sen University, Kaohsiung, 804, Taiwan, Republic of China;(2) Department of information Technology, Meiho Institute of Technology, Pintaung, Taiwan |
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| Abstract: | This paper is concerned with the study of solution stability of a parametric vector variational inequality, where mappings
may not be strongly monotone. Under some requirements that the operator of a unperturbed problem is monotone or it satisfies
degree conditions then we show that the solution map of a parametric vector variational inequality is lower semicontinuous. |
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