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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 1: Variational Analysis, Optimization and Optimal Control. Guest editors: Der-Chen Chang, Robert P. Gilbert, Yongzhi Steve Xu and Jen-Chih Yao
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Articles

Generalized sequential normal compactness in Asplund spaces

Bingwu WangDepartment of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, USA.Correspondence[email protected]
&
Dong WangDepartment of Mathematics and Computer Science, Fayetteville State University, Fayetteville, NC 28301, USA.
Pages 99-107 | Received 30 Oct 2013, Accepted 25 Dec 2013, Published online: 06 Feb 2014
 
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Abstract

Sequential normal compactness conditions are important properties in infinite-dimensional variational analysis and its applications. Following the recent study of the generalized sequential normal compactness (GSNC), this paper This paper reveals further applications of GSNC to the generalized differentiation theory in Asplund spaces, as well as the calculus of GSNC itself.

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Notes

Dedicated to Boris S. Mordukhovich on the occasion of his 65th birthday.

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