Vector complementarity problems with a variable ordering relation |
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| Authors: | N.J. Huang X.Q. Yang W.K. Chan |
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| Affiliation: | 1. Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China;2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong |
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| Abstract: | ![]()
In this paper, we investigate vector complementarity problems with a variable ordering relation. We establish existence results of a solution of a vector complementarity problem under an inclusive type condition. We obtain equivalence results among a vector complementarity problem, a vector variational inequality problem and other related problems. |
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| Keywords: | Vector complementarity problem Vector variational inequality Ordered Banach space Variable ordering relation |
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