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International Journal of Mathematics and Mathematical Sciences - Volume 21 1998, Issue 2, Pages 269-276

Mathematics Department, University of Isfahan, Isfahan, Iran

Received 8 March 1996; Revised 30 March 1996

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is known that two commuting continuous functions on an interval need not havea common fixed point. It is not known if such two functions have a common periodic point. Inthis paper we first give some results in this direction. We then define a new contractive condition,under which two continuous functions must have a unique common fixed point.





Author: Aliasghar Alikhani-Koopaei

Source: https://www.hindawi.com/



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