Epi-convergence: the Moreau envelope and generalized linear-quadratic functions

DOI10.1007/s10957-018-1254-0OpenAlexW2793101255MaRDI QIDQ1637348

Shawn Xianfu Wang, Chayne Planiden

Publication date: 8 June 2018

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

Full work available at URL: https://arxiv.org/abs/1909.04848

zbMATH Keywords

complete metric spaceepi-convergencelinear relationMoreau envelopeFenchel conjugatenonexpansiveLipschitz continuousfirmly nonexpansiveproximal mappingAttouch-Wets metricextended seminormgeneralized linear-quadratic functionmaximally monotone

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41) Linear relations (multivalued linear operators) (47A06)

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