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Abstract and Applied Analysis
Volume 2014, Article ID 593645, 4 pages
Research Article

α-Coupled Fixed Points and Their Application in Dynamic Programming

Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

Received 17 June 2014; Accepted 26 July 2014; Published 19 August 2014

Academic Editor: Erdal Karapinar

Copyright © 2014 J. Harjani et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.