Sufficiency for nondifferentiable multiobjective programming problem

This paper introduces a class of new generalized functions of the concept of invex of σ(B, ϕ) − V − type I for nondifferentiable locally Lipschitz functions by using the tools of Clarke subdifferential. These functions are used to derive the sufficient optimality conditions for a class of nondiffere...

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Veröffentlicht in:Journal of physics. Conference series Jg. 1053; H. 1; S. 12029 - 12034
Hauptverfasser: Gao, Xiaoyan, Li, Ruijuan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Bristol IOP Publishing 01.07.2018
Schlagworte:
Mathematical programming
Nonlinear programming
Physics
ISSN:1742-6588, 1742-6596
Online-Zugang:Volltext
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Zusammenfassung:This paper introduces a class of new generalized functions of the concept of invex of σ(B, ϕ) − V − type I for nondifferentiable locally Lipschitz functions by using the tools of Clarke subdifferential. These functions are used to derive the sufficient optimality conditions for a class of nondifferentiable multiobjective nonlinear programming problems with inequality constraints where the objective and constraint functions are locally Lipschitz.
Bibliographie:ObjectType-Article-1
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1053/1/012029