New α-coupled fixed point theorem for 𝜃-contraction and its application to a class of systems of functional equations arising in dynamic programming
Abstract
We introduce α-coupled fixed point for 𝜃-contractions in the space of bounded functions on a set S. As an application of our result, we prove the existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming.
Communicated by B. K. Dass