In this paper the existence and approximation of a unique common fixed point of two families of weakly compatible self-maps on a complete metric space are investigated. An example is presented to show that our results for the mappings considered satisfying non-linear contractive type conditions are
Fixed point theorems for the sum of two weakly sequentially continuous mappings
✍ Scribed by Donal O’Regan; Mohamed-Aziz Taoudi
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 291 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
In the present paper, we prove some Krasnosel'skii-Leray-Schauder type fixed point theorems for weak topology. Some fixed point theorems for the sum of two weakly sequentially continuous mappings are also presented. Our results extend and improve on ones from several earlier works.
📜 SIMILAR VOLUMES
The notions of weak\*-nonexpansive mapping and generalized R-multivalued mapping are introduced. Fixed points, common fixed points and some properties of the set of fixed points (common fixed points) of these maps are studied.
We establish common fixed point theorems involving two pairs of weakly compatible mappings satisfying nonlinear contractive conditions in K -metric spaces. The presented theorems generalize, extend and improve many existing results in the literature.