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Semi-invex functions and their subdifferentials. (English) Zbl 0894.90119

Summary: We introduce the notion of semi-invex function (non-smooth) and the associated subdifferential. We study their properties and establish the conditions for optimality in constrained and unconstrained minimization problems.

MSC:

90C25 Convex programming
49J52 Nonsmooth analysis
90C30 Nonlinear programming
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References:

[1] DOI: 10.1080/02331939108843677 · Zbl 0777.49018
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