The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set

DOI10.1186/1687-1812-2014-115zbMath1338.49052OpenAlexW2162887551WikidataQ59323701 ScholiaQ59323701MaRDI QIDQ286881

Jian Yu, Ding-Tao Peng, Nai-Hua Xiu

Publication date: 26 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-115

zbMATH Keywords

set-valued mappingsuniquenesswell-posednessresidual setvector equilibrium problems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Ordered normed spaces (46B40)

Related Items (4)

Generalized well-posedness for symmetric vector quasi-equilibrium problems ⋮ The generic uniqueness and well-posedness of Nash equilibria for stable population games ⋮ An approximation theorem and generic convergence for equilibrium problems ⋮ Well-posedness and structural stability on a system of simultaneous generalized vector quasi-equilibrium problems

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