International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 1, Pages 95-100
Coincidence and fixed points for compatible and relatively nonexpansive maps
Department of Mathematics, Bradley University, Peoria 61625, IL, USA
Received 9 July 1991; Revised 2 January 1992
Copyright © 1993 Gerald Jungck. 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.
The concept of relatively nonexpansive maps is introduced. Fixed point and
coincidence results for families of four self maps of metric spaces are obtained. Non-continuous
compatible and relatively nonexpansive maps on star-shaped compact subsets of normed linear
spaces are highlighted, and two theorems of Dotson are generalized.