Multi-step hybrid steepest-descent methods for split feasibility problems with hierarchical variational inequality problem constraints

DOI10.22436/JNSA.009.06.58zbMath1344.49045OpenAlexW2793182163MaRDI QIDQ3187088

Daya Ram Sahu, Yeong-Cheng Liou, Lu-Chuan Ceng

Publication date: 15 August 2016

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

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss6_4148--4166_Multi-step_hybrid_steepest-descent.pdf

zbMATH Keywords

nonexpansive mappingvariational inclusionmaximal monotone mappingviscosity approximation methodsplit feasibility problemgeneralized mixed equilibrium problemhybrid steepest-descent methodKorpelevich's extragradient methodgradient projection methodhierarchical variational inequality problemMann's iteration method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Newton-type methods (49M15) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)

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Modified Tseng's extragradient methods with self-adaptive step size for solving bilevel split variational inequality problems ⋮ Gradient methods with selection technique for the multiple-sets split feasibility problem

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