Extended Well-Posedness Properties of Vector Optimization Problems |
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Authors: | Huang X X |
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Institution: | (1) Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing, China;(2) Present address: School of Mathematics and Statistics, Curtin University of Technology, Perth, Western Australia, Australia |
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Abstract: | In this paper, the concept of extended well-posedness of scalar optimization problems introduced by Zolezzi is generalized to vector optimization problems in three ways: weakly extended well-posedness, extended well-posedness, and strongly extended well-posedness. Criteria and characterizations of the three types of extended well-posedness are established, generalizing most of the results obtained by Zolezzi for scalar optimization problems. Finally, a stronger vector variational principle and Palais-Smale type conditions are used to derive sufficient conditions for the three types of extended well-posedness. |
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Keywords: | Vector optimization asymptotically minimizing sequences extended well-posedness stability vector variational principle |
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