Gap functions and error bounds for generalized vector variational inequalities |
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| Authors: | Xiang-Kai Sun Yi Chai |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China
2. State Key Laboratory of Power Transmission Equipment and System Security and New Technology, College of Automation, Chongqing University, Chongqing, 400044, China
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| Abstract: | This paper deals with generalized vector variational inequalities. Without any scalarization approach, the gap functions and their regularized versions for generalized vector variational inequalities are first obtained. Then, in the absence of the projection operator method, some error bounds for generalized vector variational inequalities are established in terms of these regularized gap functions. Further, the results obtained in this paper are more simpler from the computational view. |
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