Some new unified iteration schemes with errors for nonexpansive mappings and variational inequalities

DOI10.1016/j.amc.2007.04.056zbMath1193.65086OpenAlexW2056891296MaRDI QIDQ990654

Muhammad Aslam Noor, Zhen Yu Huang

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.056

zbMATH Keywords

strong convergencenonexpansive mappingscommon elements\(\alpha \)-inverse strongly monotonic mappingunified iteration scheme with errors

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

About the relaxed cocoercivity and the convergence of the proximal point algorithm ⋮ Viscosity iterative schemes for finding split common solutions of variational inequalities and fixed point problems ⋮ Algorithms for a system of general variational inequalities in Banach spaces ⋮ Some iterative algorithms for the obstacle problems

Cites Work

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• Convergence of hybrid steepest-descent methods for variational inequalities
• General variational inequalities and nonexpansive mappings
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• Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23--July 2, 2000
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
• Some developments in general variational inequalities
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• Some problems and results in the study of nonlinear analysis

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