D.C. representability of closed sets in reflexive Banach spaces and applications to optimization problems

DOI10.1007/BF02192279zbMath0886.46008OpenAlexW2086723615MaRDI QIDQ1359460

Hiroshi Konno, Phan Thien Thach

Publication date: 6 July 1997

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02192279

zbMATH Keywords

optimization problemslocally uniformly convex normd.c. representabledegree of nonconvexityextended-real valued lsc convex functionindex of nonconvexity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Programming in abstract spaces (90C48) Duality and reflexivity in normed linear and Banach spaces (46B10) Derivatives of functions in infinite-dimensional spaces (46G05)

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Solving a class of low rank d.c. programs via a branch and bound approach: a computational experience, NEAREST POINTS AND DELTA CONVEX FUNCTIONS IN BANACH SPACES

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