Lipschitz mappings, contingents, and differentiability
✍ Scribed by Stanislav. Ponomarev; Małgorzata. Turowska
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2007
- Tongue
- English
- Weight
- 169 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
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Goetschel and Voxman [1] have introduced the notion of a derivative for fuzzy mappings of one variable in a manner different from the usual one. In this paper, we define a differentiable fuzzy mapping of several variables in ways that parallel the definition, proposed by Goetschel and Voxman [1], f
Let K be a nonempty closed convex subset of a real Banach space E. Let T : K → K be a generalized Lipschitz pseudo-contractive mapping such that F(T ) := {x ∈ K : T x = x} = ∅. Let {α n } n≥1 , {λ n } n≥1 and {θ n } n≥1 be real sequences in (0, 1) such that α n = o(θ n ), lim n→∞ λ n = 0 and λ n (α