What is it about?
In this paper, the relationship between convexificators and Greenberg–Pierskalla-based (GP-based) subdifferentials for quasiconvex functions is proved. The established results lead to a mean value theorem, a chain rule, and the closedness property for GP-based subdifferentials.
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Why is it important?
The connection between Clarke generalized gradient and Mordukhovich subdifferential with GP-based subdifferentials is highlighted.
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This page is a summary of: Relationships Between Convexificators and Greenberg–Pierskalla Subdifferentials for Quasiconvex Functions, Numerical Functional Analysis and Optimization, July 2017, Taylor & Francis,
DOI: 10.1080/01630563.2017.1349144.
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