Sentence examples for a random solution of the variational from inspiring English sources

Then we also have η* ∈ RF(T) and η* is a random solution of the variational random inequality (3.1).

Since the duality map J is single-valued and weakly sequentially continuous from X to X*, for any ξ ∈ RF(T), by ξ t n → ξ * ( t n → 0 ), we have from (3.6) that f , j = lim n → ∞ f ( ω, ξ t n - ξ t n , j - ξ t n ≤ 0. for each ω ∈ Ω. That is, ξ* ∈ RF(T) is a random solution of the variational random inequality (3.1).

Next we shall show the uniqueness of the random solution of the variational random inequality (3.1) in RF(T).

Next we show that ξ*: Ω → F is a random solution in RF(T) to the variational random inequality (3.1).

where is a unique solution of the variational inequality (3.4).

(ii) is a solution of the variational inequality (2.8).

then is called a solution of the variational inequality.

Let be a solution of the variational inequality problem.

Next we show the uniqueness of a solution of the variational inequality (2.4).

We next show the uniqueness of a solution of the variational inequality (2.3).

First, we can show easily the uniqueness of a solution of the variational inequality (3.1).