Sentence examples for solutions mapping from inspiring English sources

Li and Fang investigated the lower semicontinuity of the solutions mapping to parametric generalized Ky Fan inequality under a weaker assumption than C-strict monotonicity (see [10]).

Eventually, Mr. Timpson said, there could be hundreds of the alliances since I.B.M is working systematically to fill in every market segment on a giant "solutions map," an elaborate grid that breaks down the world by industry, type of business problem the software addresses and whether or not the customer is a large company.

Some could still be visualised as shapes – such as the equations whose set of solutions map out the surface of a ring, known as a torus – but many of them were beyond what we can picture and only accessible by algebra and a very stretched imagination.

Then, by the definition of upper semicontinuity, it follows readily that the solutions map is u.s.c on.

We call Π an ε-solution mapping.

The solution mapping V : Ω 3 ⇉ X is well defined.

Therefore, the solution mapping S is H-l.s.c on ∧ × ∨.

We will prove that the solution mapping is Lipschitz continuous.

Then the solution mapping S is B-continuous.

The solution mapping S is nonempty and closed on ∧ × ∨; The solution mapping S is H-continuous on ∧ × ∨.

The solution mapping S is nonempty and closed on ∧ × ∨; The solution mapping S is B-u.s.c on ∧ × ∨.