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2006 BILEVEL OPTIMIZATION PROBLEMS IN TOPOLOGICAL SPACES
Xie-Ping Ding, Yeong-Cheng Liou
Taiwanese J. Math. 10(1): 173-179 (2006). DOI: 10.11650/twjm/1500403808

Abstract

In this paper, we introduce and study the bilevel optimization problems in topological spaces without linear structure. For these problems, we establish two models which are different in the feasible region setting of lower-level problems. Some new existence results are obtained in rather weak conditions. These theorems improve and generalize the corresponding results of bilevel optimization in the literatures.

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Xie-Ping Ding. Yeong-Cheng Liou. "BILEVEL OPTIMIZATION PROBLEMS IN TOPOLOGICAL SPACES." Taiwanese J. Math. 10 (1) 173 - 179, 2006. https://doi.org/10.11650/twjm/1500403808

Information

Published: 2006
First available in Project Euclid: 18 July 2017

zbMATH: 1125.90039
MathSciNet: MR2186171
Digital Object Identifier: 10.11650/twjm/1500403808

Subjects:
Primary: 49J

Keywords: bilevel optimization , Stackelberg problem , topological space

Rights: Copyright © 2006 The Mathematical Society of the Republic of China

Vol.10 • No. 1 • 2006
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