IJPAM: Volume 94, No. 4 (2014)

A NOTE ON THE GRADIENT OF
THE INTEGRAL ENTROPY FUNCTION

Mengwei Xu$^1$, Liwei Zhang$^2$
$^1$School of Mathematical Sciences
Dalian University of Technology
Dalian, 116024, P.R. CHINA
$^2$Dalian University of Technology
Dalian, 116024, P.R. CHINA


Abstract. In this paper, we consider a parametric minimization problem and use the integral entropy function to approximate its value function. We show that the repeated limits of the gradient of the integral entropy function may be strictly contained in the Clarke generalized gradient of the value function in some cases. We also apply the result to bilevel programs.

Received: May 19, 2014

AMS Subject Classification: 65K10, 90C26

Key Words and Phrases: integral entropy function, value function, bilevel program

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DOI: 10.12732/ijpam.v94i4.16 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 4
Pages: 601 - 609

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).