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.
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This work was supported by the Natural Science Foundation of China and the Natural Science Foundation of Jiangxi Province, China
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Gong, X.H. Symmetric strong vector quasi-equilibrium problems. Math Meth Oper Res 65, 305–314 (2007). https://doi.org/10.1007/s00186-006-0114-0
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DOI: https://doi.org/10.1007/s00186-006-0114-0