Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions

By constructing some suitable examples, Jeyakumar and Yen (2004) [1] have shown that the Robinson metric regularity (Rmr) and the Lipschitz-like property (Llp) of implicit multifunctions are not equivalent. This paper clarifies relationships between the two properties of implicit multifunctions. It...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 72; no. 9; pp. 3594 - 3601
Main Authors:	Chieu, N.H., Yao, J.-C., Yen, N.D.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 01.05.2010 Elsevier
Subjects:	Construction Equivalence Exact sciences and technology Implicit multifunction Lipschitz-like property Mathematical analysis Mathematics Nonlinearity Normal coderivative Regularity Relationship Robinson metric regularity Sciences and techniques of general use Theorems secondary Lipschitz-like property Robinson metric regularity Normal coderivative Relationship Implicit multifunction primary Nonlinear analysis Mathematical model primary 49J53 47H04 secondary 54C60
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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