On existence of coincidence solutions for a generalized system of functional equations

Abstract

In this paper, we consider a class of generalized system of functional equations which arise in

multistage decision process. We show that the coincidence solutions for this system of

functional equations exist. The results presented here unify the results due to several authors. A

numerical example is illustrated to justify the results.

Keywords

• Coincidence solutions,Functional equations,Multistage decision process,Dynamic programming

References

1. [1] Bellman, R. (1954). Dynamic programming and a new formalism in the calculus of variations, Proc. Nat. Acad. Sci. 40, 231-235.