Levitin-Polyak well-posedness by perturbations for systems of set-valued vector quasi-equilibrium problems
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Publication:1939507
DOI10.1007/s00186-012-0414-5zbMath1258.49034OpenAlexW2037878490MaRDI QIDQ1939507
Yeol Je Cho, Jia-wei Chen, Zhong-Ping Wan
Publication date: 4 March 2013
Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00186-012-0414-5
existence theoremnonlinear scalarization functionparametric gap functionLevitin-Polyak well-posedness by perturbationssystem of set-valued vector quasi-equilibrium problems
Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (14)
Levitin–Polyak Well-Posedness of Strong Parametric Vector Quasi-equilibrium Problems ⋮ The Levitin-Polyak well-posedness by perturbations for systems of general variational inclusion and disclusion problems ⋮ Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces ⋮ On some variational inequality-constrained control problems ⋮ Scalarization of Levitin–Polyak well-posed set optimization problems ⋮ Bilevel invex equilibrium problems with applications ⋮ Levitin-Polyak well-posedness for lexicographic vector equilibrium problems ⋮ The well-posedness for a system of generalized quasi-variational inclusion problems ⋮ Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems ⋮ On bilevel variational inequalities ⋮ On well-posed isoperimetric-type constrained variational control problems ⋮ Vector parametric quasi-equilibrium problems for the sum of two set-valued mappings ⋮ Stability of approximating solutions to parametric bilevel vector equilibrium problems and applications ⋮ Well-posedness for multi-time variational inequality problems via generalized monotonicity and for variational problems with multi-time variational inequality constraints
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