Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 768294, 11 pages
doi:10.1155/2008/768294

Some extensions of Banach's contraction principle in complete cone metric spaces

Abstract

In this paper we consider complete cone metric spaces. We generalize some definitions such as c-nonexpansive and (c,λ)-uniformly locally contractive functions f-closure, c-isometric in cone metric spaces, and certain fixed point theorems will be proved in those spaces. Among other results, we prove some interesting applications for the fixed point theorems in cone metric spaces.