The fuzzy intersection rule in variational analysis with applications

The fuzzy intersection rule for Fréchet normal cones in Asplund spaces was established by Mordukhovich and the author using the extremal principle, which appears more convenient to apply in some applications. In this paper, we present a complete discussion of this rule in various aspects. We show th...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 323; no. 2; pp. 1365 - 1372
Main Author: Wang, Bingwu
Format: Journal Article
Language:English
Published: San Diego, CA Elsevier Inc 15.11.2006
Elsevier
Subjects:
Calculus of variations and optimal control
Coderivative
Exact sciences and technology
Fuzzy calculus
Fuzzy intersection rule
Mathematical analysis
Mathematics
Sciences and techniques of general use
Subdifferential
Variational analysis
Variational analysis
Fuzzy intersection rule
Subdifferential
Coderivative
Fuzzy calculus
Fréchet differentiability
Mathematical analysis
Variational calculus
Semicontinuous map
ISSN:0022-247X, 1096-0813
Online Access:Get full text
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Summary:The fuzzy intersection rule for Fréchet normal cones in Asplund spaces was established by Mordukhovich and the author using the extremal principle, which appears more convenient to apply in some applications. In this paper, we present a complete discussion of this rule in various aspects. We show that the fuzzy intersection rule is another characterization of the Asplund property of the space. Various applications are considered as well. In particular, a complete set of fuzzy calculus rules for general lower semicontinuous functions are established.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.11.051