Bulletin of the Australian Mathematical Society

Research Article

On common fixed point theorems

S.P. Singha1 and B.A. Meadea1

a1 Department of Mathematics, Statistics and Computer Science, Memorial University of Newfoundland, St John's, Newfoundland, Canada.


The aim of this paper is to extend a recent result of S.A. Husain and V.M. Sehgal [Bull. Austral. Math. Soc. 13 (1975), 261–267]. The condition that the function should be continuous in Husain and Sehgal, op. cit., is replaced by a semicontinuity condition. Moreover, a different proof is given, the last part of which requires no continuity or semicontinuity condition whatsoever.

(Received August 04 1976)