[[2], Proposition 3.4] Every bounded net in X has a Δ-convergent subnet.
For any bounded net {x α } in a closed convex subset C of a CAT 0) space X, put r ( x, { x α } ) = lim sup α d ( x, x α ). for each x ∈ C. The asymptotic radius of {x α } on C is given by r ( C, { x α } ) = inf x ∈ C r ( x, { x α } ), and the asymptotic center of {x α } in C is the set A ( C, { x α } ) = { x ∈ C : r ( x, { x α } ) = r ( C, { x α } ) }.
Since is strongly bounded and is a bounded net, it follows that (2.15).
Now, we introduce the Hausdorff measure of noncompactness (in short MNC) β defined by β ( B ) = inf { ε > 0 ; B has a finite ε -net in X }, for each bounded subset B in a Banach space X.
Since is bounded below, is a convergence net in.
He remained polite throughout, shouting "sorry" when one of his shots clipped the net and bounded beyond for a winner.
In the present paper, we propose a new approach for designing optimal controller for ordinary bounded Petri nets using control places.
Then, with Hobbs extended to midfield to try to make a play, freshman Michael Sperber sent a shot from just inside midfield that bounded wide of the open net in the final 30 seconds.
In this paper, we propose a method for building a Timed Transition Graph (TTG) that uses a single clock from the state class graph of a bounded time Petri Net (TPN).
On Tuesday the seating area was bounded by a chain-link fence covered in green netting on one side and a metal barricade on the other, with bleachers behind the chairs.
