Optimization of the difference of topical functions

In this paper, we first obtain some properties of topical (increasing and plus-homogeneous) functions in the framework of abstract convexity. Next, we use the Toland–Singer formula to characterize the dual problem for the difference of two topical functions. Finally, we present necessary and sufficient conditions for the global minimum of the difference of two strictly topical functions. Copyright Springer Science+Business Media New York 2013

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Year of publication:	2013
Authors:	Doagooei, A. ; Mohebi, H.
Published in:	Journal of Global Optimization. - Springer. - Vol. 57.2013, 4, p. 1349-1358
Publisher:	Springer
Subject:	Global optimization \| Monotonic analysis \| Abstract convexity \| Topical function \| Toland–Singer formula \| Support set \| Subdifferential set

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010845848