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Original Articles

Fréchet and normal coderivatives of implicit multifunctions

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Pages 1011-1027 | Received 01 Mar 2010, Accepted 01 Apr 2010, Published online: 21 Sep 2010
 

Abstract

This article analyses and develops furthermore the existing upper and lower estimates for the Fréchet and normal coderivatives of implicit multifunctions. Various counterexamples and examples are given. The effect of right-hand side perturbations is discussed in detail.

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Acknowledgements

G.M. Lee was supported by the Korea Science and Engineering Foundation (KOSEF) NRL Program grant funded by the Korea government (MEST) (No. ROA-2008-000-20010-0). N.D. Yen was supported by the National Foundation for Science & Technology Development (Vietnam). The authors thank Dr Nguyen Quang Huy for providing a copy of the Master thesis Citation11 which was written under his guidance. We would like to thank Nguyen Huy Chieu, Nguyen Thi Quynh Trang, and the referees for helpful comments.

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