On convergence criteria of generalized proximal point algorithms

DOI10.1016/j.cam.2007.06.013zbMath1147.65049OpenAlexW2026821674MaRDI QIDQ929905

Yonghong Yao, Muhammad Aslam Noor

Publication date: 19 June 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.06.013

zbMATH Keywords

convergencevariational inequalitynonexpansive mappingmaximal monotone operatorresolvent identityproximal point algorithm

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40)

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Cites Work

• Unnamed Item
• Inexact proximal point method for general variational inequalities
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• Convergence of generalized proximal point algorithms
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Some developments in general variational inequalities
• Forcing strong convergence of proximal point iterations in a Hilbert space
• Projection-proximal methods for general variational inequalities
• Iterative approximation of fixed points of nonexpansive mappings
• A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS^*
• Iterative Algorithms for Nonlinear Operators
• A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Monotone Operators and the Proximal Point Algorithm
• Modified Lagrangians in convex programming and their generalizations
• Fixed points of nonexpanding maps
• A new accuracy criterion for approximate proximal point algorithms

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