On the convergence analysis of inexact hybrid extragradient proximal point algorithms for maximal monotone operators

DOI10.1016/j.cam.2007.02.010zbMath1144.47048OpenAlexW2003711614MaRDI QIDQ929604

Lu-Chuan Ceng, Jen-Chih Yao

Publication date: 17 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.2007.02.010

zbMATH Keywords

strong convergenceweak convergencemaximal monotone operatorinexact hybrid extragradient proximal point algorithmsinexact iterative procedures

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) Programming in abstract spaces (90C48)

Related Items (8)

Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems ⋮ An iterative approximation scheme for solving a split generalized equilibrium, variational inequalities and fixed point problems ⋮ Implicit iterative algorithms for asymptotically nonexpansive mappings in the intermediate sense and Lipschitz-continuous monotone mappings ⋮ Iterative approaches to find zeros of maximal monotone operators by hybrid approximate proximal point methods ⋮ A hybrid extragradient method for approximating the common solutions of a variational inequality, a system of variational inequalities, a mixed equilibrium problem and a fixed point problem ⋮ A new general iterative scheme for split variational inclusion and fixed point problems of \(k\)-strict pseudo-contraction mappings with convergence analysis ⋮ Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems ⋮ Strong convergence of Halpern iteration for products of finitely many resolvents of maximal monotone operators in Banach spaces

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