Some coupled fixed point theorems in cone Sb-metric space

Abstract

In this paper, we extend the definition of coupled fixed point to mappings on cone Sb-metric space and prove some coupled fixed point theorems. Our results extend the coupled fixed point results of F. Sabetghadam et al. [Some coupled fixed point theorems in cone metric spaces, Fixed point theory and applications, Volume 2009, Article ID 125426, 8 pages] to cone Sb-metric space. An example is also given to illustrate the validity of our result.