چکیده
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In this paper, we introduce a new iterative scheme to approximate fixed point of
generalized α-nonexpansive mappings and then, we prove that the proposed iteration
process is faster than all of Picard, Mann, Ishikawa, Noor, Agarwal, Abbas,
and Thakur processes for contractive mappings. We also obtain some weak and
strong convergence theorems for generalized α-nonexpansive mappings. At the end,
by using an example for generalized α-nonexpansive mappings, we compare the
convergence behavior of new iterative process with other iterative processes.
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