International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 6, Pages 331-339
doi:10.1155/S0161171201005646

Coincidence and fixed point theorems in metric and Banach spaces

Zeqing Liu1 , Jeong Sheok Ume2 and Mohammad S. Khan3

1Department of Mathematics, Liaoning Normal University, Liaoning, Dalian 116029, China
 2Department of Applied Mathematics, Changwon National University, Changwon 641-773, Korea
 3Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, Al-khoud, Muscat 123, Oman

Abstract

We prove some coincidence and fixed point theorems for generalized (ϕ,f)-contractive type and f-nonexpansive type multivalued and singlevalued mappings in metric and Banach spaces, respectively. Our results extend, improve, and unify a few known results due to Browder, Browder and Petryshyn, Chang, Huang, and Cho, Husain and Latif, Husain and Tarafdar, and Karlovitz.