About the relaxed cocoercivity and the convergence of the proximal point algorithm
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Publication:392333
DOI10.1016/J.JOEMS.2013.03.014zbMath1278.49022OpenAlexW1993754012MaRDI QIDQ392333
Abdellatif Moudafi, Zhen Yu Huang
Publication date: 13 January 2014
Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.joems.2013.03.014
strong convergencevariational inequalitiesproximal point algorithmrelaxed cocoercivityrelaxed monotonicity
Variational inequalities (49J40) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Numerical methods for variational inequalities and related problems (65K15)
Cites Work
- Generalized system for relaxed cocoercive variational inequalities and projection methods
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Inexact \(A\)-proximal point algorithm and applications to nonlinear variational inclusion problems
- A new relaxed proximal point procedure and applications to nonlinear variational inclusions
- Wiener-Hopf equation technique for variational inequalities and nonexpansive mappings
- Some new unified iteration schemes with errors for nonexpansive mappings and variational inequalities
- Some resolvent iterative methods for variational inclusions and nonexpansive mappings
- Role of relative \(A\)-maximal monotonicity in overrelaxed proximal-point algorithms with Applications
- Forcing strong convergence of proximal point iterations in a Hilbert space
- An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings
- Monotone Operators and the Proximal Point Algorithm
- Inexact Variants of the Proximal Point Algorithm without Monotonicity
- Signal Recovery by Proximal Forward-Backward Splitting
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