The Engulfing Property from a Convex Analysis Viewpoint-Reference-Cited by-同舟云学术

The Engulfing Property from a Convex Analysis Viewpoint

Published:2020-09-28 Issue:2 Volume:187 Page:408-420
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Calogero Andrea,Pini Rita^ORCID

Abstract

AbstractIn this note, we provide a simple proof of some properties enjoyed by convex functions having the engulfing property. In particular, making use only of results peculiar to convex analysis, we prove that differentiability and strict convexity are conditions intrinsic to the engulfing property.

Funder

Università degli Studi di Milano - Bicocca

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://link.springer.com/content/pdf/10.1007/s10957-020-01755-1.pdf

Reference10 articles.

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3. Gutiérrez, C.E.: The Monge-Ampère Equation. Birkhäuser, Boston (2001)

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5. Forzani, L., Maldonado, D.: On geometric characterizations for Monge-Ampère doubling measures. J. Math. Anal. Appl. 275, 721–732 (2002)

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