International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 2, Pages 397-400
A remark on Rhoades fixed point theorem for non-self mappings
MatematiČki Institut, Knez Mihaila 35, Belgrade 11000, Serbia
Received 3 January 1991; Revised 15 March 1991
Copyright © 1993 Ljubomir B. ćirić. 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.
Let be a Banach space, a non-empty closed subset of and a mapping
satisfying the contractive definition (1.1) below and the condition . Then has a unique
fixed point in . This result improves Theorem of Rhoades  and generalizes the corresponding
theorem of Assad .