A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings

DOI10.1080/00036811.2013.868443zbMath1309.47070arXiv1309.6402OpenAlexW2114912858WikidataQ58166727 ScholiaQ58166727MaRDI QIDQ5175329

Heinz H. Bauschke, Shawn Xianfu Wang, Jia-wei Chen

Publication date: 20 February 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6402

zbMATH Keywords

fixed pointBregman projectionLegendre functionMoreau envelopeBregman subgradient projectorquasi-Bregman nonexpansive

Mathematics Subject Classification ID

Convex programming (90C25) Computational aspects related to convexity (52B55) Numerical optimization and variational techniques (65K10) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

On Bregman-type distances and their associated projection mappings ⋮ A Privacy-Preserving Method to Optimize Distributed Resource Allocation ⋮ Subgradient projectors: extensions, theory, and characterizations ⋮ On the rate of convergence of iterated Bregman projections and of the alternating algorithm

Cites Work

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• Variational Analysis and Generalized Differentiation I
• On Projection Algorithms for Solving Convex Feasibility Problems
• Convex analysis and monotone operator theory in Hilbert spaces

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