International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 813-818
doi:10.1155/S0161171295001037

Common fixed points for nonexpansive type fuzzy mappings

Byung Soo Lee,1 Do Sang Kim,2 Gue Myung Lee,3 and Sung Jin Cho

1Department of Mathematics, Kyungsung University, Pusan 608-736, Korea
2Department of Applied Mathematics, National Fisheries University of Pusan, 608-737, Korea
3Department of National Sciences, Pusan National University of Technology, Pusan 608-739, Korea

Received 23 March 1993; Revised 29 July 1994

Copyright © 1995 Byung Soo Lee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper we define g-nonexpansive and g-nonexpansive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings satisfying certain conditions on a Banach space. Thus we obtain fixed point theorems for nonexpansive type multi-valued mappings.