On the need for hybrid steps in hybrid proximal point methods

DOI10.1016/S0167-6377(01)00101-8zbMath1061.47057OpenAlexW2024682064MaRDI QIDQ1604053

O. Rolando Gárciga, Benar Fux Svaiter, Alfredo Noel Iusem

Publication date: 3 July 2002

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6377(01)00101-8

zbMATH Keywords

relative errorinexact solutionsproximal point methodhybrid steps

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items (7)

Convergence analysis of the extragradient method for equilibrium problems in Hadamard spaces ⋮ Proximal Point Method for Quasi-Equilibrium Problems in Banach Spaces ⋮ Extragradient methods for nonsmooth equilibrium problems in Banach spaces ⋮ Hybrid extragradient proximal algorithm coupled with parametric approximation and penalty/barrier methods ⋮ Extragradient Methods for Vector Equilibrium Problems in Banach Spaces ⋮ Convergence analysis of a relaxed extragradient–proximal point algorithm application to variational inequalities ⋮ A strongly convergent proximal point method for vector optimization

Cites Work

• Enlargement of monotone operators with applications to variational inequalities
• A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator
• An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Monotone Operators and the Proximal Point Algorithm
• Proximité et dualité dans un espace hilbertien
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