Necessary conditions for super minimizers in constrained multiobjective optimization

Authors:
Truong Q. Bao;Boris S. Mordukhovich
Affiliations:
Department of Mathematics, Wayne State University, Detroit, USA 48202;Department of Mathematics, Wayne State University, Detroit, USA 48202
Venue:
Journal of Global Optimization
Year:
2009

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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.