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Generalized sequential normal compactness in Asplund spaces
Authors:Bingwu Wang  Dong Wang
Affiliation:1. Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, USA.bwang@emich.edu;3. Department of Mathematics and Computer Science, Fayetteville State University, Fayetteville, NC 28301, USA.
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.
Keywords:sequential normal compactness  generalized sequential normal compactness  Mordukhovich normal cone  generalized differentiation  variational analysis
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