Symmetric strong vector quasi-equilibrium problems |
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Authors: | X H Gong |
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Institution: | (1) Department of Mathematics, Nanchang University, Nanchang, 330047, People’s Republic of China |
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Abstract: | In this paper, we introduce the symmetric strong vector quasi-equilibrium problem. We then demonstrate that the symmetric
strong vector quasi-equilibrium problem is solvable under the suitable assumptions. As an application, we get an existence
theorem of the strong saddle points of vector-valued functions. In addition, we give a characterization of vector-valued properly
quasi-convex functions.
This work was supported by the Natural Science Foundation of China and the Natural Science Foundation of Jiangxi Province,
China |
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Keywords: | Symmetric strong vector quasi-equilibrium problems Existence theorem Strong saddle point Vector-valued properly quasi-convex function |
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