Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841252 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 10 Pages |
Abstract
In this paper, three kinds of well-posedness for set optimization are first introduced. By virtue of a generalized Gerstewitz’s function, the equivalent relations between the three kinds of well-posedness and the well-posedness of three kinds of scalar optimization problems are established, respectively. Then, sufficient and necessary conditions of well-posedness for set optimization problems are obtained by using a generalized forcing function, respectively. Finally, various criteria and characterizations of well-posedness are given for set optimization problems.
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Authors
W.Y. Zhang, S.J. Li, K.L. Teo,