Continuity of the Fenchel correspondence and continuity of polarities

DOI10.1016/0022-247X(91)90399-KzbMath0772.46044OpenAlexW1964363956MaRDI QIDQ1176894

Jean-Paul Penot, Luis Contesse

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90399-k

zbMATH Keywords

lower semicontinuityCastaing's notion of pseudo- upper semicontinuityCesari's limit superior of the sequence of polar cones in the bounded weak\(^*\) topologycontinuity of polaritiescontinuity of the Fenchel correspondencepolar cone of the limit inferior of a sequence of cones of a Banach spacepseudo-upper semicontinuity of a closed-valued multifunctionYoung-Fenchel correspondence

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convex sets in topological linear spaces; Choquet theory (46A55)

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