The new extragradient method extended to equilibrium problems

DOI10.1007/s13398-018-0604-yOpenAlexW2900752387WikidataQ128879174 ScholiaQ128879174MaRDI QIDQ2317556

Hang Kong, Ying Liu

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0604-y

zbMATH Keywords

variational inequalityequilibrium problempseudomonotone bifunctionLipschitz-type continuoussubgradient extragradient method

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Levitin-Polyak well-posedness for split equilibrium problems ⋮ The iterative methods for solving pseudomontone equilibrium problems ⋮ An accelerated extragradient algorithm for bilevel pseudomonotone variational inequality problems with application to optimal control problems ⋮ Weak convergence of explicit extragradient algorithms for solving equilibrium problems

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