Sentence examples for be a weakly minimal from inspiring English sources

An element is said to be a weakly minimal (resp., weakly maximal) point of if (resp., ).

A point is said to be a weakly minimal solution of if satisfying and.

Then is a weakly minimal solution of.

Since is a weakly minimal solution of,.

If is a weakly minimal solution of, then (4.13).

We now show that is a weakly minimal solution of.

Thus is a weakly minimal solution of and the proof is complete.

Since is a weakly minimal solution of, it follows from Theorem 5.2 that.

If satisfies the inclusive condition, then is a weakly minimal point of (i.e., solves (GWMEP) ).

Since is a weakly minimal solution of, it follows from Theorem 4.5 that (4.37).

A point is called a weakly minimal solution of (GVOP) with respect to the cone, if is a weakly minimal point of (GVOP) with respect to the cone, that is,.