A Proximal Average for Prox-Bounded Functions

DOI10.1137/19M1287419zbMath1441.49022arXiv1909.06221MaRDI QIDQ5110561

Chayne Planiden, Jia-wei Chen, Shawn Xianfu Wang

Publication date: 20 May 2020

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.06221

zbMATH Keywords

resolventconvex hullepi-convergenceMoreau envelopesubdifferential operatorproximal averageproximal mappingarithmetic averageproximal hullalmost differentiable functionepi-averageLasry-Lions envelopeprox-bounded function

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Related Items

The Bregman Proximal Average ⋮ The Semiconvex Regularization of Functions ⋮ Various Notions of Nonexpansiveness Coincide for Proximal Mappings of Functions ⋮ Learnable Empirical Mode Decomposition based on Mathematical Morphology

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