Fixed point theorems under c-distance in ordered cone metric space

Subject Areas : International Journal of Industrial Mathematics

H. Rahimi ¹ , G. Soleimani Rad ²

1 - Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
2 - Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran

Received: 2014-03-01 Accepted : 2014-03-01 Published : 2014-04-01

Keywords: Cone metric space, Common &#x0C, fixed point, fixed point, c-distance, Partially ordered set,

Abstract :

Recently, Cho et al. [Y. J. Cho, R. Saadati, S. H. Wang, Common xed point theorems on generalized distance in ordered cone metric spaces, Comput. Math. Appl. 61 (2011) 1254-1260] dened the concept of the c-distance in a cone metric space and proved some xed point theorems on c-distance. In this paper, we prove some new xed point and common xed point theorems by using the distance in ordered cone metric spaces.