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Proof We now construct an approximate sequence.
This computation is continued to obtain an approximate sequence of.
where { α n } is an approximate sequence in [ 0, 1 ].
This computation is continued to obtain {y n } as an approximate sequence of {x n }.
This computation is continued to obtain { ξ k, n } an approximate sequence of { x k, n }.
Indeed, the approximate sequence {y n } is calculated in the following manner.
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Motifs are discovered by searches for short overrepresented approximate sequences within a larger pool of sequences.
where { α n } and { β n } are approximate sequences in [ 0, 1 ].
where { α n }, { β n } and { γ n } are approximate sequences in [ 0, 1 ].
Then the approximate sequences { x n }, { w n } constructed by Algorithm 2 converge strongly to a solution of problem (2.1).
Several authors have begun the study of generalized set-valued nonexpansive mappings through an approach given by the properties of approximate sequences of fixed points where stationary points have appeared in a natural way.
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