Sequential normal compactness versur topological normal compactness in variational analysis

0175340 - MU-W 20030092 RIV DE eng J - Journal Article
Fabian, Marián - Mordukhovich, B. S.
Sequential normal compactness versur topological normal compactness in variational analysis.
Nonlinear Analysis: Theory, Methods & Applications. Roč. 54, č. 6 (2003), s. 1057-1067. ISSN 0362-546X. E-ISSN 1873-5215
R&D Projects: GA ČR GA201/01/1198
Institutional research plan: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Keywords : variational analysis * sequential and topological normal compactness * Banach spaces
Subject RIV: BA - General Mathematics
Impact factor: 0.354, year: 2003

We study relationships between two normal compactness properties of sets in Banach spaces that play an essential role in many aspects of variational analysis and its applications, particularly in calculus rules for generalized differentiation, necessary optimality and suboptimality conditions for optimization problems, etc.
Permanent Link: http://hdl.handle.net/11104/0072324