𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


Fixed point theory for generalized contr
✍ Ravi P. Agarwal; Donal O'Regan; Naseer Shahzad 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 214 KB

## 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

On cyclic Meir–Keeler contractions in me
✍ Bożena Piątek 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 212 KB

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