Extended Well-Posedness Properties of Vector Optimization Problems

X. X. Huang
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X. X. Huang: Chongqing Normal University

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 1, No 9, 165-182

Abstract: 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.

Keywords: Vector optimization; asymptotically minimizing sequences; extended well-posedness; stability; vector variational principle (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004615325743

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