Generalized monotonicity and generalized convexity
✍ Scribed by S. Komlósi
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 677 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0022-3239
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📜 SIMILAR VOLUMES
A well-known result in the theory of binary relations states that a binary relation has a complete and transitive extension if and only if it is consistent ([Suzumura K., 1976. Remarks on the theory of collective choice, Economica 43, 381-390], Theorem 3). A relation is consistent if the elements in
In this paper several kinds of (ρ, θ)-η-invariant-monotone functions and generalized (ρ, θ)-η-invariant-monotone functions are considered. For a given Frechet differentiable function f, ∇ f (gradient of f ), (ρ, θ)-η-invariant-monotonicity of ∇ f is related to (ρ, θ)-η-invexity of f . It is also sho