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Step 3. Convergence of the sequence.
Strong convergence of the sequence is proved.
Convergence of the sequence of quadratics certifies curvature continuity.
The global convergence of the sequence is also established.
The convergence of the sequence is analyzed in Section 4.
Now, we prove the convergence of the sequence { x n }.
Thus the convergence of the sequence (tilde{P}_{N}) implies the convergence of the sequence of (P_{N}).
Lehdili and Moudafi [16] obtained the convergence of the sequence generated by the algorithm.
(1.11) And, under suitable conditions, they proved the strong convergence of the sequence ({w_{n}}).
Zhang [1] proved the strong convergence of the sequence to under appropriate conditions.
Now we turn our attention (using the previous argument) to linear convergence of the sequence.
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