Necessary optimality conditions with a modified subdifferential

Necessary optimality conditions with a modified subdifferential

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Article ID: iaor1992325
Country: Germany
Volume: 22
Start Page Number: 387
End Page Number: 400
Publication Date: Aug 1991
Journal: Optimization
Authors: ,
Abstract:

The concepts of the τ-subgradient and τ-subdifferential are introduced for local Lipschitz functions. It is proved that the generalized invex functions have a nonempty τ-subdifferential. The generalized directional derivate related to the τ-subdifferential is given. The necessary conditions of inequality constrained problems are clarified by the τ-subdifferential.

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