General proximal point algorithm involving \(\eta \)-maximal accretiveness framework in Banach spaces

DOI10.1007/S11117-008-2268-XzbMath1177.49023OpenAlexW2060318013MaRDI QIDQ1041502

Ram U. Verma

Publication date: 2 December 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2268-x

zbMATH Keywords

generalized resolvent operatorinclusion problems\(\eta \)-maximal accretive mappingmaximal accretive mapping

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear accretive operators, dissipative operators, etc. (47H06) Extrapolation to the limit, deferred corrections (65B05)

Related Items (3)

A remark on the boundness and weak convergence of general proximal point algorithm ⋮ Strong convergence of a parallel iterative algorithm in a reflexive Banach space ⋮ Super-relaxed \((\eta)\)-proximal point algorithms, relaxed \((\eta)\)-proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions

Cites Work

• Unnamed Item
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• \(A\)-monotonicity and its role in nonlinear variational inclusions
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• The perturbed proximal point algorithm and some of its applications
• \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
• A-monotone nonlinear relaxed cocoercive variational inclusions
• Approximation solvability of a class of nonlinear set-valued variational inclusions involving \((A,\eta )\)-monotone mappings
• Set-valued variational inclusions with \(T\)-accretive operators in Banach spaces
• The multiplier method of Hestenes and Powell applied to convex programming
• General system of \((A,\eta )\)-monotone variational inclusion problems based on generalized hybrid iterative algorithm
• Generalized Eckstein-Bertsekas proximal point algorithm involving \((H,\eta )\)-monotonicity framework
• Iterative Algorithms for Nonlinear Operators
• Inequalities in Banach spaces with applications
• Monotone Operators and the Proximal Point Algorithm
• Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• Convex Analysis
• On the Maximality of Sums of Nonlinear Monotone Operators

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