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Abstract
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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

F. Jafari and V.M. Sehgal

Department of Mathematics, University of Wyoming, Laramie 82071-3036, WY, USA

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.