Variational analysis on the signed distance functions

DOI10.1007/s10957-018-1414-2zbMath1409.49015OpenAlexW2898479565WikidataQ129027672 ScholiaQ129027672MaRDI QIDQ1730765

Brett Lukens, Honglin Luo, Shawn Xianfu Wang

Publication date: 6 March 2019

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

Full work available at URL: https://doi.org/10.1007/s10957-018-1414-2

zbMATH Keywords

subdifferentialmaximally monotone operatorFenchel conjugatenearly convex setssigned distance functionparamonotone operatorboundary projectionnot convex subdifferential domainskeleton of a convex set

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (4)

Some properties of generalized oriented distance function and their applications to set optimization problems ⋮ Convex analysis of minimal time and signed minimal time functions ⋮ Finitely convergent iterative methods with overrelaxations revisited ⋮ Some properties of nonconvex oriented distance function and applications to vector optimization problems

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