Journal of Applied Mathematics 
Volume 2004 (2004), Issue 2, Pages 169-177
doi:10.1155/S1110757X04304018

A theorem of the alternative and a two-function minimax theorem

Anton Stefanescu

Faculty of Mathematics, Bucharest University, 14 Academiei Street, Bucharest 70109, Romania

Received 8 April 2003; Revised 19 January 2004

Abstract

The two main results of the paper are a theorem of the alternative of Gordan type and a two-function minimax theorem. Both are based on some weakened convexlike properties, without any vector space structure.