A generalized corollary of the Browder-Kirk fixed point theorem

William Grady Dotson, Jr. and W. R. Mann

Vol. 26 (1968), No. 3, 455–459

DOI: 10.2140/pjm.1968.26.455

Abstract

This paper generalizes a corollary, due to W. A. Kirk, of the F. E. Browder-W. A. Kirk fixed point theorem for nonexpansive self-mappings of closed, bounded, convex sets in uniformly convex Banach spaces.

Mathematical Subject Classification

Primary: 47.85

Milestones

Received: 12 March 1968

Published: 1 September 1968