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Remark 5 Suppose (H2) holds.
Lemma 5 Suppose (f1) or (f2).
Theorem 5 Suppose conditions (7) and (9) hold.
(5) Suppose that { x m } -converges to x, and let ε > 0 be arbitrary.
Theorem 5 Suppose that Condition I is satisfied, l ≥ s, and 0 < p < ∞.
Lemma 5 Suppose that all the assumptions of Theorem 10 are satisfied.
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Theorem A.5 Suppose ( Q u, T u ) is nonnegative.
Theorem 1.7.2 implies the following result proved in [5]: Suppose that A and B are self-adjoint operators with spectra in an interval [a, b].
In order to make sure (2.32) has a solution, we need the condition that follows: ((mathrm{H}_{5})): Suppose that (Q^_{0} z(0 cap tilde{Omega}_{0}neq0).
So we can find a simplex (sigma _{3}in Tbackslash{sigma_{1},sigmadjacentadjacentoto (sigma_{2}) with ([n-1]subset l(sigmand3})), and if (0in l(sigma_{3})), then the process is complete, if not, then proceeding as before, we can find a simplex (sigma_{4}in Tbackslash{sigma_{1},sigmand2},sogma_{3}}) and son.5.5 Suppose that we have constructed the sequence (sigma_{1},ldots,sigma_{J}).
Case 1: Suppose Rab.
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