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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
A New and Faster Iterative Scheme Including Generalized α-nonexpansive Mappings in Banach Spaces
Type
JournalPaper
Keywords
Uniformly convex Banach space, Weak convergence, Strong convergence, Generalized α-nonexpansive mapping, Iterative process, Quasinonexpansive mapping.
Year
2022
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Asghar Rahimi ، ، Bayaz Daraby ، Mostafa Ghasemi

Abstract

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.