International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 1, Pages 133-137
doi:10.1155/S0161171298000179
Some fixed point theorems for nonconvex spaces
Department of Mathematics, University of Wyoming, Laramie 82071-3036, WY, USA
Received 5 June 1996; Revised 1 November 1996
Copyright © 1998 F. Jafari and V. M. Sehgal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We give a theorem for nonconvex topological vector spaces which yields the
classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate
consequences, and prove a new fixed point theorem for set-valued maps on arbitrary topological
vector spaces.