Convergence and some control conditions of hybrid steepest-descent methods for systems of variational inequalities and hierarchical variational inequalities

DOI10.22436/jnsa.010.09.03zbMath1412.49019OpenAlexW2752856719MaRDI QIDQ4632684

Yeong-Cheng Liou, Ching-Feng Wen, Ching-Hua Lo, Lu-Chuan Ceng

Publication date: 30 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.09.03

zbMATH Keywords

global convergencefixed pointnonexpansive mappinghybrid steepest-descent methodsystem of variational inequalities

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical methods based on necessary conditions (49M05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items

Strong convergence results for variational inclusions, systems of variational inequalities and fixed point problems using composite viscosity implicit methods ⋮ Optimal control for cooperative systems involving fractional Laplace operators

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