In this paper, new contraction type non-self mappings in a metric space are introduced, and conditions guaranteeing the existence of a common fixed-point for such non-self contractions in a convex metric space are established. These results generalize and improve the recent results of Imdad and Khan
Multi-valued non-self-mappings on convex metric spaces
✍ Scribed by Lj. B. Ćirić; J.S. Ume
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 186 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
In this paper we prove common fixed-point theorems for a pair of multi-valued non-self-mappings in metrically convex metric spaces. Our results generalize and extend both theorems of Itoh, (Comment.
📜 SIMILAR VOLUMES
point theorem of Imdad and Kumar, for a pair of non-self maps, to non-normal cone spaces.
In this work, Cantor's intersection theorem is extended to cone metric spaces and as an application, a fixed point theorem is derived for mappings with locally power diminishing diameters.
## a b s t r a c t In this paper, the concept of a pair of non-linear contraction type mappings in a metric space of hyperbolic type is introduced and the conditions guaranteeing the existence of a common fixed point for such non-linear contractions are established. Presented results generalize and