The Farkas Lemma Revisited

S.S. Kutateladze(sskutmath.nsc.ru)

Abstract: The Farkas Lemma is extended to simultaneous linear operator and polyhedral sublinear operator inequalities by Boolean valued analysis.

Keywords: Dedekind complete vector lattice, linear programming, linear inequalities, sublinear polyhedral inequalities, Boolean valued model

Category 1: Linear, Cone and Semidefinite Programming

Category 2: Convex and Nonsmooth Optimization

Citation: Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia

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Entry Submitted: 07/07/2009
Entry Accepted: 07/07/2009
Entry Last Modified: 07/07/2009

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