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The difference between agents trajectories can be bounded in this case and bounds on the state disagreement are derived.
So (Vert u_{n}Vert ) is bounded in this case.
From (3.1) and (3.18), we know that ∥ x ′ ∥ p also is bounded in this case.
Thus (Vert u^{k} Vert ) is still bounded in this case.
Hence (Vert u_{n}Vert ) is still bounded in this case, which implies that ({u_{n}}) is bounded in E. Case 2: (z_{0}not equiv 0).
Noticing that (y^{alpha- lambda+1)}leq1) for (y^{alpha- lambda+1lude that (H(x,y)) is bounded in this case.
Similar(54)
Note that v t) → ∞ as t → ∞ but u(t) is bounded in this special case.
This, together with ((H_{7})), means that (Omega_{1}) is bounded in the case (p>2) and, similarly, for (1 < p leq2).
{ g y n } is bounded in the case ( f, S ) satisfies the (E.A -property, { f y n } is boundE.A -propertye ( g, T ) satisfies (E.A)-property.
{ g y n } is bounded in the case ( f, S ) satisfies the (E.A -property, or.
Therefore (H x,y)) is also bounded in the case (2) since (x^{alpha- lambda+1)}leq1) for (x^{alpha- lambda+1
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