Brouwer's fixed point theorem (abstract only)

Recently, Eldred [A.A. Eldred, J. Anuradha, P. Veeramani, On equivalence of generalized multi-valued contactions and Nadler's fixed point theorem, J. Math. Anal. Appl. (2007) doi:10.1016/j.jmaa.2007.01.087] claimed that Nadler's [S.B. Nadler Jr., ...

In this paper, we present a KKM type theorem, some coincidence theorems in FC-spaces and a collective fixed-point theorem for a family of set-valued mappings defined on the product space of locally FC-spaces. As applications, some intersection theorems ...

This paper gives an alternative proof of Brouwer’s fixed-point theorem. The expected preknowledge on the part of the reader in following the proof is the continuity of the roots of polynomial equations with respect to the coefficients, and the standard ...