The Krasnosel'skiĭ-Mann Iterative Method〈1st ed. 2022〉 : Recent Progress and Applications

著者名：Dong, Qiao-Li/Cho, Yeol Je/He, Songnian/Pardalos, Panos M./Rassias, Themistocles M.

Springer（2022/02/24発売）

• 言語：ENG
• ISBN：9783030916534
• eISBN：9783030916541

Description

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

 

Table of Contents

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.