We introduce the definition of α-coupled fixed point in the space of the bounded functions on a set S and we present a result about the existence and uniqueness of such points. Moreover, as an application of our result, we study the problem of existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming.
J. Harjani. J. Rocha. K. Sadarangani. "α-Coupled Fixed Points and Their Application in Dynamic Programming." Abstr. Appl. Anal. 2014 (SI22) 1 - 4, 2014. https://doi.org/10.1155/2014/593645