A note on implicit multifunction theorems

The paper is mainly devoted to the study of implicit multifunction theorems in terms of Fréchet coderivative in Asplund spaces. It sharpens the well-known implicit multifunction theorem of Ledyaev and Zhu (Set Valued Anal., 7, 209–238, 1999 ) as well as many recent publications about this significan...

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Bibliographic Details
Published in:Optimization letters Vol. 8; no. 1; pp. 329 - 341
Main Author: Nghia, T. T. A.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2014
Subjects:
Computational Intelligence
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Operations Research/Decision Theory
Optimization
Original Paper
Simulation
Implicit multifunction theorem
Metric subregularity
Metric regularity
49J53
49J52
Fréchet coderivative
ISSN:1862-4472, 1862-4480
Online Access:Get full text
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Summary:The paper is mainly devoted to the study of implicit multifunction theorems in terms of Fréchet coderivative in Asplund spaces. It sharpens the well-known implicit multifunction theorem of Ledyaev and Zhu (Set Valued Anal., 7, 209–238, 1999 ) as well as many recent publications about this significant area.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-012-0580-7