The Moreau envelope function and proximal mapping with respect to the Bregman distances in Banach spaces

zbMath1302.90149MaRDI QIDQ2446144

Yingying Chen, Chao Kan, Wen Song

Publication date: 16 April 2014

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.math.ac.vn/publications/vjm/VJM_40/181-199.htm

zbMATH Keywords

Bregman distanceMoreau envelopeproximal mappingcontinuity, single-valuedness

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Programming in abstract spaces (90C48)

Related Items (8)

Regularizing with Bregman--Moreau Envelopes ⋮ The Bregman Proximal Average ⋮ Regularization in Banach spaces with respect to the Bregman distance ⋮ Dualities for Non-Euclidean Smoothness and Strong Convexity under the Light of Generalized Conjugacy ⋮ Various Notions of Nonexpansiveness Coincide for Proximal Mappings of Functions ⋮ Conditions for the existence, identification and calculus rules of the threshold of prox-boundedness ⋮ Bregman proximal mappings and Bregman-Moreau envelopes under relative prox-regularity ⋮ Continuous Fréchet differentiability of the Moreau envelope of convex functions on Banach spaces

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