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
Applied Mathematics | Mathematics
AMS Subject Classification
90C29, 49J52, 49J53
Bao, Truong Q. and Mordukhovich, Boris S., "Necessary Conditions for Super Minimizers in Constrained Multiobjective Optimization" (2007). Mathematics Research Reports. 53.