α-Coupled Fixed Points and Their Application in Dynamic Programming

Author:

Harjani J.1,Rocha J.1,Sadarangani K.1

Affiliation:

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

Abstract

We introduce the definition ofα-coupled fixed point in the space of the bounded functions on a setSand 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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

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