Existence and iterative algorithm of solutions for a class of bilevel generalized mixed equilibrium problems in Banach spaces

DOI10.1007/s10898-011-9724-zzbMath1275.90103OpenAlexW2081389740MaRDI QIDQ453638

Xie Ping Ding

Publication date: 27 September 2012

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

Full work available at URL: https://doi.org/10.1007/s10898-011-9724-z

zbMATH Keywords

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

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)

Related Items (8)

Levitin-Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraints ⋮ Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints ⋮ Well-posedness for bilevel vector equilibrium problems with variable domination structures ⋮ Stability of solution mappings for parametric bilevel vector equilibrium problems ⋮ 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 ⋮ Stability of approximating solutions to parametric bilevel vector equilibrium problems and applications

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