The purpose of this paper is to introduce the concept of compatibility in fuzzy metric space and prove two common ÿxed point theorems illustrating with an example.
Common fixed points of compatible maps of type (β) on fuzzy metric spaces
✍ Scribed by Y.J. Cho; H.K. Pathak; S.M. Kang; J.S. Jung
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 575 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## liitroduction In this paper we give common fixed point theorems for mappings fulfilling some nonlinear contraction type conditions on a 2-metric space. For the notions see 0 1. The concept of a %metric space (XI d ) has been investigated by S. GAHLER in [7]. For other papers on 2-metric spaces
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.