On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints

In this paper, we consider a nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints (MOSIMPECs). We introduce the concept of Mordukhovich stationary point for the nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium...

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Veröffentlicht in:Operations research letters Jg. 44; H. 1; S. 148 - 151
Hauptverfasser: Pandey, Yogendra, Mishra, S.K.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.01.2016
Schlagworte:
Generalized invexity
Mathematical programming
Mathematical programming problems with equilibrium constraints
Multiobjective programming
Operations research
Optimality conditions
Optimization
Semi-infinite programming
Optimality conditions
Semi-infinite programming
Generalized invexity
Mathematical programming problems with equilibrium constraints
Multiobjective programming
ISSN:0167-6377, 1872-7468
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Zusammenfassung:In this paper, we consider a nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints (MOSIMPECs). We introduce the concept of Mordukhovich stationary point for the nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints in terms of the Clarke subdifferentials. Further, we establish that the M-stationary conditions introduced in this paper are strong KKT type sufficient optimality conditions for the nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints under generalized invexity assumptions. We also illustrate our result with an example.
Bibliographie:ObjectType-Article-1
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content type line 23
ISSN:0167-6377
1872-7468
DOI:10.1016/j.orl.2015.12.007