Calculus of sequential normal compactness in variational analysis.

DOI10.1016/S0022-247X(02)00385-2zbMath1033.49031OpenAlexW1967128235MaRDI QIDQ1399373

Bingwu Wang, Boris S. Mordukhovich

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00385-2

zbMATH Keywords

variational analysisextremal principlegeneralized differentiationsequential normal compactnesscalculus rulesBanach and Asplund spaces

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items

Calculus of directional subdifferentials and coderivatives in Banach spaces ⋮ Weak differentiability with applications to variational analysis ⋮ The fuzzy intersection rule in variational analysis with applications ⋮ Calculus of directional coderivatives and normal cones in Asplund spaces ⋮ Sequential normal compactness versus topological normal compactness in variational analysis. ⋮ Metric regularity, tangential distances and generalized differentiation in Banach spaces ⋮ On the fuzzy intersection rule ⋮ Generalized sequential normal compactness in Asplund spaces ⋮ Weak regularity of functions and sets in Asplund spaces ⋮ Bornological coderivative and subdifferential calculus in smooth Banach spaces ⋮ Generalized differentiation of parameter-dependent sets and mappings† ⋮ Optimal control of evolution inclusions ⋮ Optimal control of semilinear unbounded differential inclusions ⋮ Metric regularity of mappings and generalized normals to set images ⋮ On the sequential normal compactness condition and its restrictiveness in selected function spaces ⋮ Quasiconvex programming with locally starshaped constraint region and applications to quasiconvex MPEC

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