The Krasnosel'skiĭ-Mann Iterative Method

Recent Progress and Applications

Qiao-Li Dong, Yeol Je Cho, Songnian He , Panos M. Pardalos

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English

Springer Nature Switzerland AG
25 February 2022

Real analysis, real variables; Functional analysis & transforms; Differential calculus & equations; Integral calculus & equations; Optimisation

Series: SpringerBriefs in Optimization

This brief explores the Krasnosel'skiĭ-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.

By: Qiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos, Themistocles M. Rassias
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 1st ed. 2022
Dimensions: Height: 235mm, Width: 155mm,
Weight: 221g
ISBN: 9783030916534
ISBN 10: 3030916537
Series: SpringerBriefs in Optimization
Pages: 127
Publication Date: 25 February 2022
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Introduction.- 2. Notation and Mathematical Foundations.-3. The Krasnoselskii-Mann Iteration.- 4. Relations of the Krasnosel'skii-Mann Iteration and the Operator Splitting Methods.- 5. The Inertial Krasnoselskii-Mann Iteration.- 6. The Multi-step Inertial Krasnoselskii-Mann Iteration.- 7. Relaxation Parameters of the Krasnoselskii-Mann Iteration.- 8. Two Applications.