New Type of Generalized Vector Quasiequilibrium Problem |
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Authors: | J Y Fu S H Wang Z D Huang |
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Institution: | (1) Department of Mathematics, Nanchang University, Nanchang, China |
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Abstract: | In this paper, we introduce a new type of vector quasiequilibrium problem with set-valued mappings and moving cones. By using
the scalarization method and fixed-point theorem, we obtain its existence theorem. As applications, we derive some existence
theorems for vector variational inequalities and vector complementarity problems.
This work was supported by the National Natural Science Foundation of China. The authors are grateful to Professor X.Q. Yang
and the referees for valuable comments and suggestions improving the original draft. |
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Keywords: | Vector quasiequilibrium problems Set-valued mappings Scalarization Vector variational inequalities Vector complementarity problems |
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