Fixed Points via a Generalized Local Commutativity : the Compact Case

  • GERALD F. JUNGCK
  • Published 2002
In an earlier paper, the concept of semigroups of self-maps which are nearly com-mutative at a function g : X → X was introduced. We now continue the investigation , but with emphasis on the compact case. Fixed-point theorems for such semigroups are obtained in the setting of semimetric and metric spaces. 1. Introduction. By a semigroup of maps we mean a… (More)