International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 2, Pages 249-256
doi:10.1155/S0161171297000331

Coincidence theorems for nonlinear hybrid contractions

Y. J. Cho,1 B. Fisher,2 and G. S. Genga3

 1Deptartment of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
2Department of Mathematics and Computer Science, University of Leicester, Leicester LE1 7RH, UK
3Deptartment of Mathematics, Sunchon National University, Sunchon 540-742, Korea
Received 5 June 1995; Revised 12 December 1995

Abstract

In this paper, we give some common fixed point theorems for single-valued mappings and multi-valued mappings satisfying a rational inequality. Our theorems generalize some results of B. Fisher, M. L. Diviccaro et al. and V. Popa.