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 minimisation problems.

Joydeep Dutta

School of Artificial Intelligence and Data Science (AIDE)

IIT Jodhpur

V. Vetrivel

S. Nanda

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Journal	Bulletin of the Australian Mathematical Society
Publisher	Australian Mathematical Publishing Association
ISSN	00049727