Abstract. Coincidence theorems for expansive mappings are shown. As applications, the existence of common solutions for a class of functional equations arising in dynamic programming is discussed. The results presented in this paper generalize, improve and unify some recent results.

AMS Subject Classification (1991): 54H25, 47H10

Received May 29, 1997 and in revised form July 22, 1998. (Registered under 2690/2009.)