Existence and algorithms for bilevel generalized mixed equilibrium problems in Banach spaces

DOI10.1007/s10898-011-9712-3zbMath1267.47098OpenAlexW2092446498MaRDI QIDQ454268

Yeong-Cheng Liou, Jen-Chih Yao, Xie Ping Ding

Publication date: 1 October 2012

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9712-3

zbMATH Keywords

iterative algorithmBanach spaceauxiliary principlegeneralized mixed equilibrium problembilevel generalized mixed equilibrium problem involving set-valued mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Management decision making, including multiple objectives (90B50) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) General equilibrium theory (91B50) Variational and other types of inclusions (47J22)

Related Items (6)

Bilevel invex equilibrium problems with applications ⋮ Existence and algorithms for the bilevel new generalized mixed equilibrium problems in Banach spaces ⋮ A Cutting Plane Approach for Solving Linear Bilevel Programming Problems ⋮ Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces ⋮ On bilevel variational inequalities ⋮ Levitin–Polyak well-posedness of generalized bilevel equilibrium problem with perturbations

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