Nonsmooth vector-valued invex functions and applications

Nonsmooth vector-valued invex functions and applications

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Article ID: iaor20011548
Country: India
Volume: 21
Issue: 2
Start Page Number: 243
End Page Number: 255
Publication Date: May 2000
Journal: Journal of Information & Optimization Sciences
Authors: ,
Abstract:

Various types of locally Lipschitz vector-valued invex (and generalized invex) functions are examined. Then the said classes of nonsmooth invex functions are used in order to formulate sufficient generalized Kuhn–Tucker results for a multiobjective programming problem, both with a conical ordering and in the Paretian case. Weakly efficient, efficient and properly efficient points are obtained.

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