Sentence examples for minimal solutions of from inspiring English sources

( S P − ⪯ )  ⪯-minimize F ( x ), subject to x ∈ X, where minimal solutions of ( S P − ⪯ ) are defined in the following way: Definition 4 (Minimal solutions of ( S P − ⪯ ) w.r.t. the preorder ⪯).

Some sufficient conditions are presented to determine its optimal solution in terms of the maximum solution or the minimal solutions of its feasible domain.

Next, we formulate a comparison statement for minimal solutions of two Riccati equations.

Rong and Wu [9] introduced ε-weakly minimal solutions of vector optimization problems.

This implies that (x^) and (y^) are the maximal and minimal solutions of system (1.1), respectively.

The maximal and minimal solutions of problem (1.1) are called its extremal solutions.

The state constraint is the epigraph of the minimal solution of a second Hamilton Jacobi equation.

In this paper, we investigate the existence of a minimal solution of general dual fuzzy linear equation systems.

Since is a weakly minimal solution of,.

Then is a weakly minimal solution of.

We now show that is a weakly minimal solution of.