Well-posed generalized vector equilibrium problems

Springer Science and Business Media LLC - Tập 2014 - Trang 1-12 - 2014
Xicai Deng1,2, Shuwen Xiang2
1Department of Mathematics and Computer, Guizhou Normal College, Guiyang, China
2Department of Mathematics, Guizhou University, Guiyang, China

Tóm tắt

In this paper, we establish the bounded rationality model M for generalized vector equilibrium problems by using a nonlinear scalarization technique. By using the model M, we introduce a new well-posedness concept for generalized vector equilibrium problems, which unifies its Hadamard and Levitin-Polyak well-posedness. Furthermore, sufficient conditions for the well-posedness for generalized vector equilibrium problems are given. As an application, sufficient conditions on the well-posedness for generalized equilibrium problems are obtained. MSC: 49K40, 90C31.

Tài liệu tham khảo

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