Fixed Point Theory and Applications (Jan 2010)
Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
Abstract
We develop the theory of topological vector space valued cone metric spaces with nonnormal cones. We prove three general fixed point results in these spaces and deduce as corollaries several extensions of theorems about fixed points and common fixed points, known from the theory of (normed-valued) cone metric spaces. Examples are given to distinguish our results from the known ones.