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Positive eigenvalues of countably contractive maps

✍ Scribed by In-Sook Kim

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
386 KB
Volume
38
Category
Article
ISSN
0895-7177

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πŸ“œ SIMILAR VOLUMES

Perturbation theorems for positive eigen
Perturbation theorems for positive eigenvalues of countably condensing maps
✍ In-Sook Kim πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 678 KB

Using a homotopy extension theorem, we give a perturbation theorem for countably condensing maps in a more general setting. Moreover, we prove perturbation theorems for positive eigenvalues of countably condensing maps in locally convex topological vector spaces which include the case of condensing

The invariance of domain theorem for cou
The invariance of domain theorem for countably 1-set-contractive mappings
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The purpose of this paper is to extend the invariance of domain theorem to a large class of countably 1-Ξ³ -contractive maps, by using homotopy theory and degree theory for countably 1-Ξ³ -contractive maps.

On characterizations of Meir–Keeler cont
On characterizations of Meir–Keeler contractive maps
✍ Teck-Cheong Lim πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 76 KB

Let (X; d) be a complete metric space and T : X β†’ X a map. Suppose there exists a function : R + β†’ R + satisfying (0) = 0; (s) Β‘ s for s ΒΏ 0 and that is right upper semicontinuous such that d(Tx; Ty) ≀ (d(x; y)) βˆ€x; y ∈ X: