International Journal of Mathematics and Mathematical Sciences 
Volume 16 (1993), Issue 1, Pages 95-100
doi:10.1155/S0161171293000110

Coincidence and fixed points for compatible and relatively nonexpansive maps

Gerald Jungck

 Department of Mathematics, Bradley University, Peoria 61625, IL, USA
Received 9 July 1991; Revised 2 January 1992

Abstract

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.