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Korpelevich [6] proved that the sequence {x n } converges strongly to a solution of V I(C, A).
z ∈ K is a solution of V I P ( A, K ) if 〈 A z, x − z 〉 ≥ 0, ∀ x ∈ K.
For example, in [4, 43] it was proved that some very interesting Korpelevich-type algorithms strongly converge to a solution of V I ( C, A ). Very recently, Yao et al. [33] suggested modified Korpelevich's method which converges strongly to the minimum norm solution of variational inequality (1) in infinite-dimensional Hilbert spaces.
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Cells cultured on glass coverslips were pre-fixed for 5 min with a solution of 4% (v:v) formaldehyde in NaCl/Pi buffer mixed with the culture medium at 25°C.
The gels were stained with 0.1% (w v−1) Coomassie Brilliant Blue in 50% (v v−1) methanol, 10% (v v−1) acetic acid, and destained in a solution of 30% (v v−1) methanol and 1% (v v−1) formic acid.
So, fixed point methods can be implemented to find a solution of the V I ( F, C ) provided F satisfies some conditions and μ > 0 is chosen appropriately.
Then ( z, λ ¯ ) is a solution of (D) and V ( P ) = V ( D ).
Conversely, if u is a solution of (1.1) and v = P u, then D v I ˜ ( v ) = 0.
After electrophoresis, the gel was stained for 1 h with Coomassie Brilliant Blue R-250 staining solution (Bio-Rad Laboratories, HerCAles, Candandestaineded for 20 h with a solution of 15%% (v/ v) methanol and 10%% (v/ v) acetic acid.
Conversely if u is a solution of (1.1) and v = P 0 u, then D I ˜ ( v ) = 0. □ .
Two days after transfection, the cells were harvested and stained with a solution of FITC-conjugated Annexin V and propidium iodide (BD Pharmingen, San Diego, CA, USA).
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