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.
Common fixed points in cone metric spaces
β Scribed by Pasquale Vetro
- Publisher
- Springer Milan
- Year
- 2007
- Tongue
- Italian
- Weight
- 87 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0009-725X
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π SIMILAR VOLUMES
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 (
In this paper the existence of a point of coincidence and a common fixed point for two weakly compatible maps on a cone metric space has been established. The two mappings are assumed to satisfy certain weak inequalities. Supporting examples are also given.
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.
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