end{aligned} Since (Ageq E) and (1-beta<1), by using condition (b) of relative compactness, we have ((B^{alpha}f,f leq(A^{1-beta}f,f leq(Af,f)).
In fact, by using Condition 3.12 and the proof of Lemma 3.2, we get desired result.
Finally, by using the conditions of the existence theorem of the solutions to (SVQEP) (see [1]), we obtain sufficient conditions of the well-posedness for (SVQEP).
It should be added that the level of 8-oxo-7,8-dihydro-2 -deoxyguanosine 8-oxo-7,8-dihydro-2 -deoxyguanosine 8-oxo-7,8-dihydro-2 -deoxyguanosine 8-oxo-7,8-dihydro-2 -deoxyguanosine 8-oxo-7,8-dihydro-2 -deoxyguanosine 8-oxo-7,8-dihydro-2 -deoxyguanosine.
Table 10 gives the results obtained for the reactions of phenylacetylene and triisopropylsilylacetylene with aromatic aldehydes by using the conditions of Scheme 8.
Maiti and Ghosh [6] generalized the results of Bose and Mukerjee [1] for Ishikawa iterates by using modified conditions of Senter and Dotson [7] (see, also [10]).
PCR assays were also performed by using standard conditions of amplification (17 ) to detect genes coding for the replication protein of IncU-type plasmids (rep gene) and the tetracycline resistance determinant (encoded by the tetA gene).
But, by using the conditions of the aforesaid theorems we note that the operator T in these theorems is in fact strongly monotone.
Similarly, by using the conditions of Theorem 3.2 [38], we note that the operators T and g are in fact strongly monotone.
