International Journal of Mathematics and Mathematical Sciences 
Volume 23 (2000), Issue 7, Pages 507-511
doi:10.1155/S0161171200002258

A theorem of Meir-Keeler type revisited

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

1Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
2Department of Mathematics, Arignar Anna Govt. Arts College, Karaikal, (Pondicherry V. T.) 609605, India
3Department of Mathematics, Bradley University, Peoria, IL 61625, USA

Received 1 October 1998

Abstract

In 1993, the authors presented a fixed point theorem of Meir-Keeler type. The proposed proof of a lemma—on which the said theorem depends on—is invalid. In this note, we alter the statement of this lemma and give a valid proof thereof, so that the main result of the previous paper is still true.