The Moreau envelope function and proximal mapping in the sense of the Bregman distance
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Publication:654077
DOI10.1016/j.na.2011.07.031zbMath1236.49026OpenAlexW2017680740MaRDI QIDQ654077
Publication date: 21 December 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.07.031
Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)
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Cites Work
- Convex functions, monotone operators and differentiability.
- Convexity of Chebyshev sets
- Computing proximal points of nonconvex functions
- On Chebyshev functions and Klee functions
- The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces
- Bregman distances and Chebyshev sets
- Towards minimal assumptions for the infimal convolution regularization
- Iterative averaging of entropic projections for solving stochastic convex feasibility problems
- Prox-regularity of functions and sets in Banach spaces
- Proximality and Chebyshev sets
- Potpourri of Conjectures and Open Questions in Nonlinear Analysis and Optimization
- Monotone Operators and the Proximal Point Algorithm
- Variational Analysis
- Bregman Monotone Optimization Algorithms
- Signal Recovery by Proximal Forward-Backward Splitting
- Proximité et dualité dans un espace hilbertien
- Gradients of Convex Functions
- Best approximation in inner product spaces
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