Friday, 15:15 - 15:40 h, Room: H 1029


Qinghong Zhang
Efficiency conditions for semi-infinite multiobjective optimization problems

Coauthor: G. J. Zalmai


In this study, we present a theorem of the alternative concerning an infinite system of equalities and inequalities, and then, utilizing this result and the concepts of Dini and Hadamard directional derivatives and differentials, we establish a set of Karush-Kuhn-Tucker-type necessary efficiency conditions under the generalized Abadie and Guignard constraint qualifications for a semi-infinite multiobjective optimization problem. Furthermore, we briefly discuss the relevance and applicability of the necessary efficiency results to some semi-infinite multiobjective optimization problems, including a nonclassical problem in the calculus of variations with an infinite number of isoperimetric-type equality and inequality constraints, and problems involving support functions, arbitrary norms, and positive semidefinite quadratic forms.


Talk 1 of the invited session Fri.3.H 1029
"Optimality conditions in multiobjective optimization" [...]
Cluster 15
"Multi-objective optimization" [...]


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