Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces

DOI10.1002/MANA.200610817zbMath1225.47119OpenAlexW2052519344MaRDI QIDQ3655603

Yeong-Cheng Liou, Yonghong Yao, Ru Dong Chen

Publication date: 8 January 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610817

zbMATH Keywords

strong convergencefixed pointvariational inequalityHilbert spacemonotone mapping

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 (7)

Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems ⋮ Multistep hybrid viscosity method for split monotone variational inclusion and fixed point problems in Hilbert spaces ⋮ Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems ⋮ Convergence analysis for variational inequality problems and fixed point problems in 2-uniformly smooth and uniformly convex Banach spaces ⋮ A new general iterative algorithm with Meir-Keeler contractions for variational inequality problems in \(q\)-uniformly smooth Banach spaces ⋮ Iterative methods for pseudomonotone variational inequalities and fixed-point problems ⋮ Inertial Mann-type iterative method for solving split monotone variational inclusion problem with applications

Cites Work

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• Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Convergence of generalized proximal point algorithms
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
• Viscosity approximation methods for nonexpansive mappings
• Variational Inequalities with Generalized Monotone Operators
• On the Maximality of Sums of Nonlinear Monotone Operators
• Pseudomonotone Complementarity Problems and Variational Inequalities

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