The best approximation and an extension of a fixed point theorem of F. E. Browder
V. M. Sehgal1and S. P. Singh2
Received17 Mar 1994
Revised09 May 1994
Abstract
In this paper, the KKM
principle has been used to obtain a theorem on the best
approximation of a continuous function with respect to an affine map. The main result provides
extensions of some well-known fixed point theorems.