Quasimonotone variational inequalities and quasiconvex programming: quantitative stability. (English) Zbl 1124.49023

Summary: Our aim in this paper is to bring to the fore that Hölder-type estimations can be obtained for parametric variational inequalities defined by strongly quasimonotone set-valued map. Stability results for quasiconvex programming problems are also considered.


49K40 Sensitivity, stability, well-posedness
47J20 Variational and other types of inequalities involving nonlinear operators (general)
49J40 Variational inequalities
49J52 Nonsmooth analysis
90C31 Sensitivity, stability, parametric optimization
90C46 Optimality conditions and duality in mathematical programming