A new class of bilevel generalized mixed equilibrium problems in Banach spaces

DOI10.1016/S0252-9602(12)60124-6zbMATH Open1271.47056OpenAlexW2021747031MaRDI QIDQ1954095

Xieping Ding

Publication date: 20 June 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(12)60124-6

zbMATH Keywords

monotonicityiterative algorithmset-valued mappingsBanach spaceauxiliary principlegeneralized mixed equilibrium problembilevel generalized mixed equilibrium problem

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Programming in abstract spaces (90C48) Variational and other types of inclusions (47J22)

Related Items (5)

Levitin-Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraints ⋮ Auxiliary principle and algorithm for mixed equilibrium problems and bilevel mixed equilibrium problems in Banach spaces ⋮ Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces ⋮ Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces ⋮ Generalized mixed equilibrium problem in Banach spaces

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