Best proximity points for cyclic Meir–Keeler contractions
✍ Scribed by Cristina Di Bari; Tomonari Suzuki; Calogero Vetro
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 338 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
We introduce a notion of cyclic Meir-Keeler contractions and prove a theorem which assures the existence and uniqueness of a best proximity point for cyclic Meir-Keeler contractions. This theorem is a generalization of a recent result due to Eldred and Veeramani.
📜 SIMILAR VOLUMES
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
## 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