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a new faster iteration process to fixed points of generalized α-nonexpansive mappings in banach spaces
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نویسنده
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rahimi asghar ,rezaei ali ,daraby bayaz ,ghasemi mostafa
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منبع
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international journal of nonlinear analysis and applications - 2024 - دوره : 15 - شماره : 5 - صفحه:1 -10
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چکیده
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In this paper, we introduce a new iterative scheme to approximate the fixed point of generalized α-nonexpansive mappings. we first 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. using the example presented in [r. pant and r. shukla, approximating fixed point of generalized α-nonexpansive mappings in banach spaces, j. numer. funct. anal. optim. 38(2017) 248-266.], we compare the convergence behavior of the new iterative process with other iterative processes.
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کلیدواژه
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uniformly convex banach space ,convergence theorem ,opial property ,iterative process
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آدرس
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university of maragheh, department of mathematics, iran, university of maragheh, department of mathematics, iran, university of maragheh, department of mathematics, iran, university of maragheh, department of mathematics, iran
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پست الکترونیکی
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mostafaghasemi1366@yahoo.com
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Authors
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