Endpoints and fixed points of set-valued contractions in cone metric spaces
β Scribed by Dariusz Wardowski
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 337 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Cone metric spaces are generalizations of metric spaces, where the metric is Banach spacevalued. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In the present work, we establish a unique fixed point result for weak contractions
The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham ( 2006) in [13]. In this manuscript, some results of Lakshmikantham and ΔiriΔ (2009) in [5] are extended to the class of cone metric spaces.
Huang and Zhang [L.-G. Haung, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007Appl. 332 ( ) 1468Appl. 332 ( -1476] ] proved some fixed point theorems in cone metric spaces. In this work we prove some fixed point theorems in cone metric spa