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In the next lemma, we prove that under suitable assumption the sequence { x k } becomes an approximate fixed point sequence, which will provide an important step in the proof of the generalized Mann iteration process convergence.
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Since { y n } is an approximating fixed point sequence of ℱ, we infer from Theorem 5.4 that y ∗ ∈ Fix ( F ).
Using the AA, the original optimization problem becomes an approximating mixed-integer multi-objective programming model.
Therefore, f, g have a common approximate fixed point.
Let be a bounded approximate fixed point sequence, i.e., and.
In this note, we establish a general theorem to approximate fixed points of quasi-contractive.
For instant, one of an interesting directions is the extension of fixed point results to approximate fixed point results.
A hybrid algorithm is constructed to approximate fixed points of such maps.
Now, we find an approximate fixed point sequence in Fix ( t ) for T. Take x 0 ∈ Fix ( t ).
In this section, we approximate fixed point for nearly asymptotically nonexpansive mappings in a hyperbolic space.
In other words, it becomes an exhaustive approximate pattern matching problem.
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