In this article we study a recently introduced notion of non-smooth analysis, namely convexifactors. We study some properties of the convexifactors and introduce two new chain rules. A new notion of non-smooth pseudoconvex function is introduced and its properties are studied in terms of convexifactors. We also present some optimality conditions for vector minimization in terms of convexifactors.

Joydeep Dutta

School of Artificial Intelligence and Data Science (AIDE)

IIT Jodhpur

S. Chandra

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Journal	Optimization
ISSN	02331934