Proximal Normal Cone Analysis on Smooth Banach Spaces and Applications

DOI10.1137/130910993zbMath1297.49021OpenAlexW2091876238MaRDI QIDQ4979872

Xi Yin Zheng, Ng Kung-fu

Publication date: 19 June 2014

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130910993

zbMATH Keywords

proximal subdifferentialproximal normal coneuniformly smooth Banach spacesfuzzy optimality conditionssuperdifferentiable functionsproximal separations

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Optimality conditions for problems in abstract spaces (49K27)

Related Items (5)

Optimality conditions for circular cone complementarity programs ⋮ Exact separation theorem for disjoint closed sets in Hilbert spaces ⋮ Variational analysis based on proximal subdifferential on smooth Banach spaces ⋮ Second order variational analysis of disjunctive constraint sets and its applications to optimization problems ⋮ Hölder metric subregularity for multifunctions in type Banach spaces

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