International Journal of Mathematics and Mathematical Sciences 
Volume 16 (1993), Issue 4, Pages 669-674
doi:10.1155/S0161171293000833

A common fixed point theorem of Meir and Keeler type

Y. J. Cho,1 P. P. Murthy,2 and G. Jungck3

1Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea
2Balajee Guest House, Street-37, Sector-5, Bhilai (M.P.) 490 006, India
3Department of Mathematics, Bradley University, Peoria, Illinois 61625, USA

Received 10 June 1992; Revised 22 September 1992

Abstract

In this paper, we introduce the concept of compatible mappings of type (A) on a metric space, which is equivalent to the concept of compatible mappings under some conditions, and give a common fixed point theorem of Meir and Keeler type. Our result extends, generalized and improves some results of Meir-Keeler, Park-Bae, Park-Rhoades, Pant and Rao-Rao, etc.