On generalizations of the Meir-Keeler type contraction maps
✍ Scribed by B.E Rhoades; Sehie Park; Kwon Bai Moon
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 603 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
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:
## 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
In this paper, we introduce the concepts of the set-valued dynamical systems of asymptotic contractions of Meir-Keeler type and set-valued dynamical systems of strict contractions in uniform spaces and we present a method which is useful for establishing conditions guaranteeing the existence and uni