Title of article
Normal coderivative for multifunctions and implicit function theorems
Author/Authors
G.M. Lee، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
12
From page
11
To page
22
Abstract
In the framework of the theory of normal coderivative for multifunctions, new implicit function theorems are obtained. The main
tools of the proofs are the Ekeland variational principle, a nonsmooth version of Fermat’s rule, a sum rule, and the differential estimate
for marginal functions established by B.S. Mordukhovich and Y. Shao [B.S. Mordukhovich, Y. Shao, Nonsmooth sequential
analysis in Asplund spaces, Trans. Amer. Math. Soc. 348 (1996) 1235–1280].
© 2007 Elsevier Inc. All rights reserved
Keywords
Multifunction , Metric projection , Normal coderivative , implicit function theorem , Metric regularity , Pseudo-Lipschitz property , Lower semicontinuity
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936478
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