Generalized B-Well-Posedness for Set Optimization Problems

This paper aims at studying the generalized well-posedness in the sense of Bednarczuk for set optimization problems with set-valued maps. Three kinds of B -well-posedness for set optimization problems are introduced. Some relations among the three kinds of B -well-posedness are established. Necessar...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2013-06, Vol.157 (3), p.612-623
Main Authors: Long, X. J., Peng, J. W.
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Calculus of Variations and Optimal Control
Optimization
Engineering
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Studies
Theory of Computation
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Summary:This paper aims at studying the generalized well-posedness in the sense of Bednarczuk for set optimization problems with set-valued maps. Three kinds of B -well-posedness for set optimization problems are introduced. Some relations among the three kinds of B -well-posedness are established. Necessary and sufficient conditions of well-posedness for set optimization problems are obtained.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-012-0205-4