Generalized Constraint Qualifications and Optimality Conditions for Set-Valued Optimization Problems

Author: Yong-Wei H.

Source: Journal of Mathematical Analysis and Applications, Volume 265, Number 2, January 2002 , pp. 309-321(13)

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Abstract:

In this paper we discuss the connections of four generalized constraint qualifications for set-valued vector optimization problems with constraints. Then some K-T type necessary and sufficient optimality conditions are derived, in terms of the contingent epiderivatives. © 2002 Elsevier Science.

Keywords: set-valued maps; generalized constraint qualifications; optimality conditions; contingent epiderivatives

Language: English

Document Type: Research article

Affiliations: Institute of Applied Mathematics, Chongqing University (Campus B), Chongqing, 400045, People's Republic of China

Publication date: 2002-01-01