Document Type
Technical Report
Abstract
This paper concerns the study of the so-called super minimizers related to the concept of super efficiency in constrained problems of multiobjective optimization, where cost mappings are generally set-valued. We derive necessary conditions for super minimizers on the base of advanced tools of variational analysis and generalized differentiation that are new in both finite-dimensional and infinite-dimensional settings for problems with single-valued and set-valued objectives.
Number in Series
2007.09
Disciplines
Applied Mathematics | Mathematics
AMS Subject Classification
90C29, 49J52, 49J53
Recommended Citation
Bao, Truong Q. and Mordukhovich, Boris S., "Necessary Conditions for Super Minimizers in Constrained Multiobjective Optimization" (2007). Mathematics Research Reports. 53.
https://digitalcommons.wayne.edu/math_reports/53