Equilibrium and quadratic programming
In this talk we are concerned with a result on the existence of a solution for an equilibrium problem, which despite of its simplicity –it easily follows from the separation theorem in a finite dimensional framework– implies a theorem of the alternative of the Gordan-type with arbitrarily many inequality functions. As a consequence, we recover and even generalize certain results on nonlinear optimization, specifically we study the solvability of some quadratic programs involving Z-matrices in terms of suitable Karush–Kuhn–Tucker and Fritz John conditions.
Palabras clave / Keywords: equilibrium problems quadratic programming theorems of the alternative
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