The best approximation and an extension of a fixed point theorem of F. E. Browder

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.

Keywords

• best approximation
• fixed point theorem
• KKM-map
• p-affine map
• inward set.