A noncompact minimax theorem

Chung Wei Ha

Vol. 97 (1981), No. 1, 115–117

DOI: 10.2140/pjm.1981.97.115

Abstract

This paper contains an extension of Ky Fan’s theorem on sets with convex sections (for the case two sets are involved) by relaxing the compactness condition. It is then applied to obtain a generalization of Sion’s minimax theorem in which neither underlying set is assumed to be compact.

Mathematical Subject Classification

Primary: 49A40, 49A40

Secondary: 90D05

Milestones

Received: 18 February 1980

Published: 1 November 1981