Abstract. We give necessary and sufficient conditions for a pair of mappings to possess a common fixed point, which extend properly the results of Chang , Fisher , Jungck , Khan and Fisher , Rhoades, Tiwary and Singh  and Sessa, Mukherjee and Som . As applications, the existence and uniqueness of common solutions for a class of functional equations in dynamic programming are discussed.
AMS Subject Classification
(1991): 54H25, 47H10
Received October 16, 1997 and in revised form July 22, 1998. (Registered under 2691/2009.)