Strong convergence of an inertial Halpern type algorithm in Banach spaces

In this article, we obtain the strong convergence of the new modified Halpern iteration process x n + 1 = α n u + ( 1 - α n ) T n P ( x n + θ n ( x n - x n - 1 ) ) , n = 1 , 2 , 3 , … , to a common fixed point of { T n } , where { T n } n = 1 ∞ is a family of nonexpansive mappings on the closed and...

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Bibliographic Details

Published in:	Rendiconti del Circolo matematico di Palermo Vol. 72; no. 2; pp. 1517 - 1526
Main Author:	Ranjbar, Sajad
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.03.2023
Subjects:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Strong convergence 47H10 Halpern iteration 47H09 Iterative methods Accretive operator Fixed point
ISSN:	0009-725X, 1973-4409
Online Access:	Get full text
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