Inertial Krasnosel’skiǐ–Mann type hybrid algorithms for solving hierarchical fixed point problems

In this paper, we suggest two inertial Krasnosel’skiǐ–Mann type hybrid algorithms to approximate a solution of a hierarchical fixed point problem for nonexpansive mappings in Hilbert space. We prove strong convergence theorems for these algorithms and the conditions of the convergence are very weak...

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Bibliographic Details
Published in:	Fixed point theory and algorithms for sciences and engineering Vol. 21; no. 2; pp. 1 - 22
Main Authors:	Dong, Qiao-Li, Kazmi, K. R., Ali, Rehan, Li, Xiao-Huan
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.06.2019 Springer Nature B.V
Subjects:	Algorithms Analysis Convergence Fixed points (mathematics) Hilbert space Iterative methods Mathematical Methods in Physics Mathematical programming Mathematics Mathematics and Statistics 49J35 inertial Krasnosel’skiǐ–Mann type hybrid algorithm 47H10 90C47 Hierarchical fixed point problem nonexpansive mapping strong convergence
ISSN:	1661-7738, 1661-7746, 2730-5422
Online Access:	Get full text
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