Sentence examples for procedures we prove from inspiring English sources

Then, using some Jungck-type iterative procedures, we prove the existence of coincidence points as well as the strong convergence theorems for the weak Jungck -contractive mappings.

On the way to establishing this procedure, we prove a result about Hilbert function spaces and partially answer a question posed by Agler and McCarthy.

Then, using an iterative procedure, we prove the existence of coincidence points for such mappings.

By the use of Galerkin procedure, we prove the global existence and the decay property of solution.

Based on the Carathéodory approximation procedure, we prove that DPSDEs have a unique solution and show that the Carathéodory approximate solution converges to the solution of DPSDEs under the global Lipschitz condition.

By a similar procedure we can prove that, for each y0 ∈ F T, there exists y1 ∈ S y0) such that d ( y 0, s ∞ ( y 0, y 1 ) ) ≤ q ψ.

The dichotomous answering procedure we chose proved to be problematic particularly for those items which have a margin of ambiguity in their formulation.

However, we need to introduce new procedures to prove the results in the q-theory setting.

Individuals who were flagged had to follow onerous procedures to prove their eligibility before they would be allowed to vote.

We give a simple procedure and prove its optimal.

In this section, we use the minimax procedure to prove the existence of infinitely many solutions.