Lipschitz continuity of approximate solution mappings to parametric generalized vector equilibrium problems
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Publication:1730823
DOI10.1007/s10957-018-1329-yzbMath1409.49023OpenAlexW2807949006MaRDI QIDQ1730823
Publication date: 6 March 2019
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-018-1329-y
scalarizationapproximate solutionLipschitz continuityvector optimization problemgeneralized vector equilibrium problem
Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) General equilibrium theory (91B50) Discrete approximations in optimal control (49M25)
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Stability analysis for set-valued equilibrium problems with applications to Browder variational inclusions ⋮ Approximate solutions for set optimization with an order cone that has nonempty quasirelative interiors ⋮ Stability of optimal points with respect to improvement sets ⋮ Hölder continuity of solution maps to parametric set-valued Ky Fan inequalities ⋮ Hölder Continuity for Solution Mappings of Parametric Non-convex Strong Generalized Ky Fan Inequalities ⋮ Nonlinear scalarizing functions in set optimization problems ⋮ On Lipschitz continuity of solutions to equilibrium problems via the Hiriart-Urruty oriented distance function
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