On characterizations of Meir–Keeler contractive maps
✍ Scribed by Teck-Cheong Lim
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 76 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
Let (X; d) be a complete metric space and T : X → X a map. Suppose there exists a function : R + → R + satisfying (0) = 0; (s) ¡ s for s ¿ 0 and that is right upper semicontinuous such that d(Tx; Ty) ≤ (d(x; y)) ∀x; y ∈ X:
📜 SIMILAR VOLUMES
## Abstract Fixed point, domain invariance and coincidence results are presented for single‐valued generalized contractive maps of Meir–Keeler type defined on complete metric spaces (or more generally complete gauge spaces). The maps of Caristi type are also considered. In addition the random analo
Cyclic Meir-Keeler contractions are considered under the recently introduced WUC and HW properties on pairs of subsets of metric spaces. We show that, in contrast with previous results in the theory, best proximity point theorems under these properties do not directly extend from cyclic contractions