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. Cho1
, P.P. Murthy2
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
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.