Systems of parametric strong quasi-equilibrium problems: existence and well-posedness aspects

DOI10.11650/tjm.18.2014.3495zbMath1357.49030OpenAlexW2021493014MaRDI QIDQ514671

Yeong-Cheng Liou, Jia-wei Chen

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3495

zbMATH Keywords

Hausdorff metricKuratowski measure of noncompactnessLevitin-Polyak well-posednessgeneralized levitin-Polyak well-posednesssystem of parametric strong set-valued quasi-equilibrium problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

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• The existence of solutions and well-posedness for bilevel mixed equilibrium problems in Banach spaces
• Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints
• Vector variational inequalities and vector equilibria. Mathematical theories
• Gap functions and existence of solutions to generalized vector quasi-equilibrium problems