On iterative methods for bilevel equilibrium problems

DOI10.1186/s13660-021-02698-5zbMath1495.47101OpenAlexW3202747253MaRDI QIDQ2072958

Chanitnan Jaipranop, Satit Saejung

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-021-02698-5

zbMATH Keywords

strong convergencebilevel equilibrium problemsextragradient algorithm with line search techniqueHalpern sequenceHalpern-Korpelevič algorithm

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Extragradient algorithms for equilibrium problems and symmetric generalized hybrid mappings
• Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
• Extragradient subgradient methods for solving bilevel equilibrium problems
• On the strong convergence of sequences of Halpern type in Hilbert spaces
• A hybrid extragradient method extended to fixed point problems and equilibrium problems
• On extragradient-viscosity methods for solving equilibrium and fixed point problems in a Hilbert space
• Convex analysis and monotone operator theory in Hilbert spaces

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