DocumentCode
1300431
Title
Necessary and sufficient conditions for the efficient solutions of nondifferentiable multiobjective problems
Author
Ishizuka, Yo ; Shimizu, Kiyotaka
Author_Institution
Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan
Issue
4
fYear
1984
Firstpage
625
Lastpage
629
Abstract
The necessary conditions for the efficient solutions of multiobjective problems with locally Lipschitz objective and constraint functions are presented. Under the assumption of convexity, these conditions are also sufficient conditions. For its application, the optimality conditions for the multiobjective problems including extremal-value functions are obtained. The necessary conditions are derived by means of the generalized Motzkin´s lemma and are expressed in terms of Clarke´s generalized gradients (1975).
Keywords
minimax techniques; Lipschitz objective; Motzkin´s lemma; constraint functions; convexity; efficient solutions; extremal-value functions; multiobjective problems; necessary conditions; optimality; Convex functions; Cybernetics; Linear programming; Optimization; Programming; Sufficient conditions; Vectors;
fLanguage
English
Journal_Title
Systems, Man and Cybernetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9472
Type
jour
DOI
10.1109/TSMC.1984.6313334
Filename
6313334
Link To Document