Quasicomplementarity problems of type \(R_ 0\)

DOI10.1007/BF02192540zbMath0851.90121OpenAlexW2090060881MaRDI QIDQ1918013

Werner Oettli, Nguyen Dong Yen

Publication date: 18 July 1996

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02192540

zbMATH Keywords

necessary and sufficient conditionparametric quasicomplementarityupper semicontinuity of the solution map

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)

Related Items (9)

Solvability of a regular polynomial vector optimization problem without convexity ⋮ Upper semicontinuity of the solution maps in homogeneous vector quasi-equilibrium problems ⋮ The equivalence of upper semi-continuity of the solution map and the \(R_{0}\)-condition in the mixed linear complementarity problem ⋮ A note on Hölder continuity of solution set for parametric vector quasiequilibrium problems ⋮ The upper semicontinuity of the solution maps in vector implicit quasicomplementarity problems of type \(R_{0}^{*1}\) ⋮ On the upper semi-continuity of the solution map to the vertical implicit homogeneous complementarity problem of type \(R_{0}\) ⋮ On Hölder calmness and Hölder well-posedness of vector quasi-equilibrium problems ⋮ Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces ⋮ An example of a bad quasicomplementarity problem

Cites Work

• Robustness and nondegenerateness for linear complementarity problems
• Equivalence of Variational Inequalities with Wiener-Hopf Equations
• On the Continuity of the Solution Map in Linear Complementarity Problems
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