International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 1, Pages 45-49

On the δ-continuous fixed point property

F. Cammaroto1 and T. Noiri2

1Dipartimcnto di Mammatica, Università di Messina, Sant'Agata (Messina) 98166, Italy
2Department of Mathematics, Yatsushiro College of Technology, Yatsushiro, Kumamoto 866, Japan

Received 7 July 1988; Revised 6 November 1988

Copyright © 1990 F. Cammaroto and T. Noiri. 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.


In this paper, we define and investigate the δ-continuous retraction and the δ-continuous fixed point property. Theorem 1 of Connell [11] and Theorem 3.4 of Arya and Deb [2] are improved.