Generalized sequential normal compactness in Asplund spaces

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

AMS Subject Classifications:

• Pimary: 49J52 Secondary: 58C06

Notes

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