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Ascent Ray Theorems and Some Applications
Application to SemiInfinite Programming
Intersections of Convex Sets
60 other sections not shown
algorithm Analysis applied approximation assume bounded Charnes closed compact Computer cone constraints continuous functions convergence Convex Analysis convex cone convex function convex programming convex set Corollary defined denote derivatives DUFFIN equations equivalent example exchange methods exists feasible finite dimensional follows fuzzy set fuzzy set program given GUSTAFSON Hence Hettich holds implies inequality infimum infinite inner regular iteration Jeroslow Kortanek Lagrange multiplier Lemma linear programming LP duality Math minimizing MQ(S non-empty nonlinear Nonlinear Programming nonnegative optimal solution optimization problems perfect duality Polak positive primal probability measures programming problems proof of Theorem quadratic quadratic programming result saddle point satisfies second order Section Seiten semi-infinite programming sequence solving space subset sufficient condition Suppose supremum Theorem 2.1 Theory variables vector zero