Resumen de Farkas’ lemma: three decades of generalizations for mathematical optimization

N. Dinh, V. Jeyakumar

• In this paper we present a survey of generalizations of the celebrated Farkas’s lemma, starting from systems of linear inequalities to a broad variety of non-linear systems. We focus on the generalizations which are targeted towards applications in continuous optimization. We also briefly describe the main applications of generalized Farkas’ lemmas to continuous optimization problems.