On Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints
Tóm tắt
In this note, we prove that the convergence results for vector optimization problems with equilibrium constraints presented in Wu and Cheng (J. Optim. Theory Appl. 125, 453–472, 2005) are not correct. Actually, we show that results of this type cannot be established at all. This is due to the possible lack, even under nice assumptions, of lower convergence of the solution map for equilibrium problems, already deeply investigated in Loridan and Morgan (Optimization 20, 819–836, 1989) and Lignola and Morgan (J. Optim. Theory Appl. 93, 575–596, 1997).
Tài liệu tham khảo
Wu, Y.N., Cheng, T.C.E.: Convergence results for weak efficiency in vector optimization problems with equilibrium constraints. J. Optim. Theory Appl. 125, 453–472 (2005)
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