Comments on: Farkas’ lemma: three decades of generalizations for mathematical optimization 1

• Chong Li ^[1] ; K. F. Ng ^[2]
  1. [1] Zhejiang University

     Zhejiang University

     China

     
  2. [2] Chinese University of Hong Kong, China
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 22, Nº. 1, 2014, págs. 23-26
• Idioma: inglés
• DOI: 10.1007/s11750-014-0316-1
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• Resumen

  • The celebrated Farkas lemma originated in Farkas (1902) provides us an attractively simple and extremely useful characterization for a linear inequality to be a consequence of a linear inequality system on the Euclidean space Rn . This lemma has been extensively studied and extended in many directions, including conic systems (linear, sublinear, convex), infinite/semi-infinite convex inequality systems and some classes of nonconvex systems such as the difference of convex (DC) systems and composite convex systems, and the rich results are spread in the literature.