Extragradient subgradient methods for solving bilevel equilibrium problems

In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong convergence of the iterative sequence generate...

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Detalles Bibliográficos
Autores principales: Yuying, Tadchai, Dinh, Bui Van, Kim, Do Sang, Plubtieng, Somyot
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6267417/
https://www.ncbi.nlm.nih.gov/pubmed/30839868
http://dx.doi.org/10.1186/s13660-018-1898-1
Descripción
Sumario:In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong convergence of the iterative sequence generated by the first algorithm. Furthermore, the strong convergence of the sequence generated by the second algorithm is obtained without a Lipschitz-type condition.

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