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
Common fixed point theorems of compatible and weakly compatible maps in Menger spaces
β Scribed by Jin-Xuan Fang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 665 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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.
In this paper, we obtain some common fixed point theorems for occasionally weakly compatible mappings on a set X together with the function d : X Γ X β [0, β) without using the triangle inequality and assuming symmetry only on the set of points of coincidence.
The purpose of this paper is to introduce the concept of compatibility in fuzzy metric space and prove two common ΓΏxed point theorems illustrating with an example.