EPISODES IN METRIC FIXED POINT THEORY RELATED TO F. E. BROWDER

S. Park

EPISODES IN METRIC FIXED POINT THEORY RELATED TO F. E. BROWDER

Authors

S. Park The National Academy of Sciences, Republic of Korea, Seoul 06579;Department of Mathematical Sciences, Seoul National University, Seoul 08826, Korea

Keywords:

fixed point, complete metric space, contractive type conditions

Abstract

F.E. Browder in 1979 posed a fixed point theorem of great generality
and complexity such that a large part of literature on contractive type of
mapscan be subsumed under an intuitive and simple mode of argument.
Immediately after, several researchers found better theorems than his
result. Since then only a few authors quote his theorem. However, until
recently, certain minor papers related to Browder's aim.Our aim in this
paper is to introduce the contents of them.