Fixed point; Generalized complete metric space; Hyers-Ulam stability; Partial order
Issue Date
2014-01
Publisher
Hindawi Publishing Corporation
Citation
Fixed Point Theory and Applications, January 2014, Vol.2014, No.1, p.1-9
Abstract
In this paper, we prove a fixed point theorem for a contraction in generalized complete metric spaces endowed with partial order. As an application, we use the fixed point theorem to prove the Hyers-Ulam stability of the Cauchy functional equation in Banach spaces endowed with a partial order.