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International Journal of Mathematics and Mathematical Sciences 
Volume 9 (1986), Issue 4, Pages 771-779
doi:10.1155/S0161171286000935

Compatible mappings and common fixed points

Gerald Jungck

Department of Mathematics, Bradley University, Peoria 61625, Illinois, USA

Received 30 July 1985

Abstract

A generalization of the commuting mapping concept is introduced. Properties of this “weakened commutativity” are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others.