Some fixed point theorems for nonconvex spaces

F. Jafari and V. M. Sehgal

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-5

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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:948419

DOI: 10.1155/S0161171298000179

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