Notes on the differentiation of quasi-convex functions

2013/09/06 by F. Reese Harvey, H. Blaine Lawson, Harvey, F. Reese +1 · 1 citation
Mathematics · Computer Science · #Functional Equations Stability Results #Optimization and Variational Analysis #Fixed Point Theorems Analysis

paper · pdf · doi:10.48550/arxiv.1309.1772

Abstract

This expository paper presents elementary proofs of four basic results concerning derivatives of quasi-convex functions. They are combined into a fifth theorem which is simple to apply and adequate in many cases. Along the way we establish the equivalence of the basic lemmas of Jensen and Slodkowski.

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