Sentence examples for on a continuous selection from inspiring English sources

Their proof is based on a continuous selection theorem which they construct.

In 1999, we deduced the following von Neumann Sion type minimax theorem for -convex spaces based on a continuous selection theorem: Theorem 5.7 (see [17]).

A comparative whole genome sequence analysis with the genomes of five modern domestic horses identified private loci selected for modern horses and suggested a continuous selection on the immune system and olfaction throughout horse evolution.

Assume that the conditions (a -(c) and (f) in Theorem 3.1 and the following conditions are satisfied: (d)' T x, μ) is weakly (η, ϕ, C x -pseudo-mapping with respeC x -pseudo-mappingment and B-u.s.C x -pseudo-mappings on X × {μ0}; (e)' there is a continuous selection t of T on X × {μ0}.

(1) The mapping t is called a selection of T on X × ∨ if t ( x, μ ) ∈ T ( x, μ ), ∀ ( x, μ ) ∈ X × ∨ ;   (2) The mapping t is called a continuous selection of T on X × ∨ if t is a selection of T and continuous on X × ∨.  .

The mapping t is called a selection of T on X × ∨ if t ( x, μ ) ∈ T ( x, μ ), ∀ ( x, μ ) ∈ X × ∨ ; The mapping t is called a continuous selection of T on X × ∨ if t is a selection of T and continuous on X × ∨.

Then T has a continuous selection.

Then F has a continuous selection.

By Lemma 2.4, has a continuous selection.

Step 3. We prove that has a continuous selection.

Then has a continuous selection, that is, there is a continuous map such that for each.