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Basic Concepts and Definitions
PointtoSet Mappings with Given Structure
6 other sections not shown
affine-linear arbitrary Assume basis solution closed at A0 compact consider constraint qualification contained continuous at A0 convex cone convex functions convex polyhedral cone convexity set Corollary corresponding defined denote dimension Example exists extreme value function F-function feasible parameter set finite number follows from Theorem given gt(x H-continuous H+(n holds index set inequalities inf f(x integer Lemma linear complementarity problems linear optimization linear parametric linear programming Lipschitzian at A0 locally Lipschitzian lower semicontinuous Math matrix metric space nonlinear programming normed space objective function obtain optimal set mapping parameter-dependent parametric linear parametric optimization problems parametric problem partitioning point A0 point-to-set mapping polyhedron positive semidefinite Proof proposition quasiconvex relative interior satisfying Section semicontinuous at A0 sequence simplex solubility set 21 solution set stability sets subset tion upper semicontinuous variable weakly analytic xTCx