In this paper, we introduce the notion of generalized almost rational contraction with respect to a pair of
self mappings on a complete metric space. Several common xed point results for such mappings are proved.
Our results extend and unify various results in the existing literature. An example and application to obtain
the existence of a common solution of the system of functional equations arising in dynamic programming
are also given in order to illustrate the e ectiveness of the presented results.