Sentence examples for maps with decomposable from inspiring English sources

maps with decomposable values.

Our strategy to deal with this problem is based on the nonlinear alternative of Leray-Schauder type together with the selection theorem of Bressan and Colombo for lower semi-continuous maps with decomposable values.

Our strategy to deal with this problems is based on the nonlinear alternative of Leray-Schauder type together with the selection theorem of Bressan and Colombo for lower semicontinuous maps with decomposable values.

We establish the existence result for the problem at hand by applying the nonlinear alternative of Leray-Schauder type and a selection theorem due to Bressan and Colombo [24] for lower semi-continuous maps with decomposable values.

We establish this result by means of the nonlinear alternative of Leray-Schauder type together with the selection theorem of Bressan and Colombo [32] for lower semi-continuous maps with decomposable values.

We establish our existence results by means of the nonlinear alternative of Leray-Schauder type, the selection theorem of Bressan and Colombo for lower semi-continuous maps with decomposable values and Wegrzyk's fixed point theorem for generalized contraction maps.

Let Y be a separable metric space and let N Y Y → P ( L 1 ( [ 0, 1 ], R ) ) be a lower semi-continuous multivalued map with closed decomposable values.

Let Y be a separable metric space and N : Y → P ( L 1 ( I, R ) ) a lower semi-continuous multivalued map with closed decomposable values.

While domain reduction has been successfully applied in branch-and-bound based global optimization over the last two decades, it has not been systematically studied for decomposition based global optimization, which is usually more efficient for problems with decomposable structures.

In the second result, we shall combine the nonlinear alternative of Leray-Schauder type for single-valued maps with a selection theorem due to Bressan and Colombo for lower semicontinuous multivalued maps with nonempty closed and decomposable values.

In the second result, we shall combine the nonlinear alternative of Leray-Schauder type for single-valued maps with a selection theorem due to Bressan and Colombo for lower semicontinuous multivalued maps with nonempty closed and decomposable values, while in the third result, we shall use the fixed point theorem for contraction multivalued maps due to Covitz and Nadler.