Optimality conditions and Mond–Weir duality for a class of differentiable semi-infinite multiobjective programming problems with vanishing constraints

In this paper, the class of differentiable semi-infinite multiobjective programming problems with vanishing constraints is considered. Both Karush–Kuhn–Tucker necessary optimality conditions and, under appropriate invexity hypotheses, sufficient optimality conditions are proved for such nonconvex sm...

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Vydané v:	4OR Ročník 20; číslo 3; s. 417 - 442
Hlavný autor:	Antczak, Tadeusz
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022 Springer Nature B.V
Predmet:	Business and Management Hypotheses Industrial and Production Engineering Mathematical programming Multiple objective analysis Operations research Operations Research/Decision Theory Optimization Research Paper 90C30 90C46 Differentiable semi-infinite multiobjective programming problem with vanishing constraints Mond–Weir duality Invex function 90C29 Karush–Kuhn–Tucker necessary optimality conditions 90C26
ISSN:	1619-4500, 1614-2411
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Shrnutí:	In this paper, the class of differentiable semi-infinite multiobjective programming problems with vanishing constraints is considered. Both Karush–Kuhn–Tucker necessary optimality conditions and, under appropriate invexity hypotheses, sufficient optimality conditions are proved for such nonconvex smooth vector optimization problems. Further, vector duals in the sense of Mond–Weir are defined for the considered differentiable semi-infinite multiobjective programming problems with vanishing constraints and several duality results are established also under invexity hypotheses.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1619-4500 1614-2411
DOI:	10.1007/s10288-021-00482-1