Univalence and degree for Lipschitz continuous maps
โ Scribed by B. H. Pourciau
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 518 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A rigid map u : ฮฉ โ R n โ R m is a Lipschitz-continuous map with the property that at every x โ ฮฉ where u is differentiable then its gradient Du(x) is an orthogonal m ร n matrix. If ฮฉ is convex, then u is globally a short map, in the sense that |u(x)u(y)| |x -y| for every x, y โ ฮฉ; while locally, ar
Let K be a nonempty closed convex subset of a real Banach space E. Let T : K โ K be a generalized Lipschitz pseudo-contractive mapping such that F(T ) := {x โ K : T x = x} = โ . Let {ฮฑ n } nโฅ1 , {ฮป n } nโฅ1 and {ฮธ n } nโฅ1 be real sequences in (0, 1) such that ฮฑ n = o(ฮธ n ), lim nโโ ฮป n = 0 and ฮป n (ฮฑ