Convergence analysis of the proximal point algorithm for pseudo-monotone equilibrium problems

DOI10.1080/10556788.2015.1025402zbMath1332.47050OpenAlexW1970240950MaRDI QIDQ3458836

Hadi Khatibzadeh, Sajad Ranjbar, Vahid Mohebbi

Publication date: 28 December 2015

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2015.1025402

zbMATH Keywords

strong convergenceweak convergenceequilibrium problemsproximal point algorithmHalpern methodpseudo-monotone bifunctions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items (8)

Extragradient-proximal methods for split equilibrium and fixed point problems in Hilbert spaces ⋮ An inexact proximal method with proximal distances for quasimonotone equilibrium problems ⋮ On the proximal point method for an infinite family of equilibrium problems in Banach spaces ⋮ Proximal Point Method for Quasi-Equilibrium Problems in Banach Spaces ⋮ New extragradient methods for solving equilibrium problems in Banach spaces ⋮ On the cyclic pseudomonotonicity and the proximal point algorithm ⋮ Proximal point algorithm for infinite pseudo-monotone bifunctions ⋮ PARALLEL EXTRAGRADIENT-PROXIMAL POINT METHODS FOR MULTIPLE SET SPLIT EQUILIBRIUM PROBLEMS OF PSEUDOMONOTONE MAPPINGS IN HILBERT SPACES

Cites Work

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• Iterative Algorithms for Nonlinear Operators
• Maximal monotonicity of bifunctions
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• Convergence of an adaptive penalty scheme for finding constrained equilibria
• Monotone Operators and the Proximal Point Algorithm
• Iterative Algorithms for Equilibrium Problems
• The construction of an asymptotic center with a fixed-point property

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