In the present work, some fixed point and common fixed point theorems for self-maps on ordered cone metric spaces, where the cone is not necessarily normal, are proved.
Distance in cone metric spaces and common fixed point theorems
โ Scribed by Shenghua Wang; Baohua Guo
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 216 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we define a distance called c-distance on a cone metric space and prove a new common fixed point theorem by using the distance.
๐ SIMILAR VOLUMES
In this paper, we study the uniqueness and existence of a common fixed point for a pair of mappings in cone metric space. The results extend and improve recent related results.
a b s t r a c t In the first part of this paper we generalize results on common fixed points in ordered cone metric spaces obtained by I. Altun and G. Durmaz [I. Altun, G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo, 58 (
The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham ( 2006) in [13]. In this manuscript, some results of Lakshmikantham and ฤiriฤ (2009) in [5] are extended to the class of cone metric spaces.