Sentence examples for problems of the solution from inspiring English sources

It is easy to see that F is Lipschitz continuous with constant L = 1 and strongly monotone with constant β = 1 on ℋ. Problem (BVI) becomes the minimum-norm problems of the solution set of the variational inequalities.

However, they cover some classes of mathematical programs with equilibrium constraints (see [6]), bilevel minimization problems (see [7]), variational inequalities (see [8 13]), minimum-norm problems of the solution set of variational inequalities (see [14, 15]), bilevel convex programming models (see [16]) and bilevel linear programming in [17].

In a special case F ( x ) = x for all x ∈ C, problem (BVI) becomes the minimum-norm problems of the solution set of variational inequalities as follows: Find  x ∗ ∈ C  such that  x ∗ = Pr Sol ( G, C ) ( 0 ), where Pr Sol ( G, C ) ( 0 ) is the projection of 0 onto Sol ( G, C ).

The authors proved a classical problem of the solution and addressed an application of the control problems of the BSDE.

Below we show that under additional conditions we can consider the problem of the solution's uniqueness.

She said on Thursday: "This kind of response by the police has become the problem instead of the solution.

Worried that Yemen is seen by American military planners as part of the terrorism problem instead of the solution, the government is eager to prove its antiterrorist credentials.

Unfortunately the IMF seems determined to confirm that it is part of the problem not of the solution!

"I start to feel like I'm part of the problem instead of the solution".

This is an open question in the OECD document, which is uncertain "whether new technologies are part of the problem, part of the solution or both" [ 32].

In one of these problems the solution of an initial/boundary value problem depends on the boundary data in a discontinuous, fractal, manner.