Episodes in Metric Fixed Point Theory related to F. E. Browder

Sehie Park

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.

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