A hybrid extragradient method for bilevel pseudomonotone variational inequalities with multiple solutions

DOI10.22436/JNSA.009.06.49zbMath1344.49011OpenAlexW2791973488MaRDI QIDQ3187079

Ching-Feng Wen, 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_4052--4069_A_hybrid_extragradient_method_for_b.pdf

zbMATH Keywords

global convergenceLipschitz continuitypseudomonotonicityviscosity approximation methodKorpelevich's extragradient methodbilevel variational inequalityMann's iteration methodhybrid extragradient algorithm

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Numerical methods based on necessary conditions (49M05) Monotone operators and generalizations (47H05) 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)

Related Items (3)

New subgradient extragradient methods for solving monotone bilevel equilibrium problems ⋮ An algorithm for solving a class of accretive variational inequalities involving pseudo-contractions ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

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