Levels sets infimal convolution and level addition

DOI10.1023/A:1022657102069zbMath0892.90179OpenAlexW1853326120MaRDI QIDQ1369050

Michel Volle, Dinh The Luc

Publication date: 7 October 1997

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

Full work available at URL: https://doi.org/10.1023/a:1022657102069

zbMATH Keywords

level setsinfimal convolution

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)

Related Items

A class of functions whose sublevel sets are absolute retracts, Local-global minimum property in unconstrained minimization problems, Convergence of asymptotic directions, Duality for the level sum of quasiconvex functions and applications, Pareto optimal allocations and optimal risk sharing for quasiconvex risk measures, Embedding of level-continuous fuzzy sets on Banach spaces, Projective dualities for quasiconvex problems

Cites Work

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• Some function classes closed under infimal convolution
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• Conditioning convex and nonconvex problems
• Convergence of asymptotic directions
• Inf-convolution quasi-convexe des fonctionnelles positives
• On a convolution operation obtained by adding level sets : classical and new results
• Convex Analysis
• A note on functions whose local minima are global
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