Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces

DOI10.1007/s10483-014-1832-9zbMath1294.49008OpenAlexW1986713776MaRDI QIDQ740446

Xie Ping Ding

Publication date: 2 September 2014

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-014-1832-9

zbMATH Keywords

monotonicitytopological vector spaceminimax inequalitybilevel generalized mixed equilibrium problem (BGMEP)generalized mixed equilibrium problem (GMEP)

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Programming in abstract spaces (90C48) General equilibrium theory (91B50)

Cites Work

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• The existence of solutions and well-posedness for bilevel mixed equilibrium problems in Banach spaces
• Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints
• An extragradient algorithm for solving bilevel pseudomonotone variational inequalities
• Bilevel mixed equilibrium problems in Banach spaces: existence and algorithmic aspects
• Existence and iterative algorithm of solutions for a class of bilevel generalized mixed equilibrium problems in Banach spaces
• Existence and algorithms for bilevel generalized mixed equilibrium problems in Banach spaces
• 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
• Existence of solutions and an algorithm for mixed variational-like inequalities in Banach spaces
• Auxiliary problems and algorithm for a system of generalized variational-like inequality problems
• Proximal methods for a class of bilevel monotone equilibrium problems
• Existence and iterative approximation of solutions of generalized mixed equilibrium problems
• Existence and algorithm of solutions for nonlinear mixed variational-like inequalities in Banach spaces.
• Mixed equilibrium problems: sensitivity analysis and algorithmic aspect.
• Existence and algorithm of solutions for mixed equilibrium problems and bilevel mixed equilibrium problems in Banach spaces
• Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems
• A new class of bilevel generalized mixed equilibrium problems in Banach spaces
• Bilevel decision via variational inequalities
• Existence and algorithm of solutions for generalized strongly nonlinear mixed variational-like inequalities in Banach spaces
• Existence and algorithm of solutions for mixed quasi-variational-like inclusions in Banach spaces
• Bilevel optimization problems in topological spaces
• A minimax inequality with applications to existence of equilibrium point and fixed point theorems
• Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems
• Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems
• On some equilibrium problems for multimaps

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