| عنوان مجله
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Sahand Communications in Mathematical Analysis
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| کلیدواژهها
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Uniformly convex Banach space, Weak convergence,
Strong convergence, Generalized α-nonexpansive mapping, Iterative process, Quasinonexpansive mapping.
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| چکیده
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In this paper, we proposed a new iterative process to
approximate fixed point of generalized α-nonexpansive mappings
and show that the coefficient used in the proposed iterative process
play a fundamental role in the rate of convergence. We compare
the speed of convergence of new iterative process with other wellknown iterative process by using numerical examples. Finally, by
using new iterative process, we obtained some weak and strong
convergence theorems for generalized α-nonexpansive mappings in
a Banach space.
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