Bulletin of the Australian Mathematical Society

Table of Contents - 1985 - Volume 31, Issue 03  

Research Article

The Farkas lemma of Shimizu, Aiyoshi and Katayama

Charles Swartza1

a1 Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, USA.

Abstract

Shimizu, Aiyoshi and Katayama have recently given a finite dimensional generalization of the classical Farkas Lemma. In this note we show that a result of Pshenichnyi on convex programming can be used to give a generalization of the result of Shimizu, Aiyoshi and Katayama to infinite dimensional spaces. A generalized Farkas Lemma of Glover is also obtained.

(Received November 30 1984)