The Krasnosel'skiĭ-Mann Iterative Method

Recent Progress and Applications

Qiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos, Themistocles M. Rassias (Autoren)

Buch | Softcover

VIII, 127 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-91653-4 (ISBN)

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

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.

Erscheinungsdatum	26.02.2022
Reihe/Serie	SpringerBriefs in Optimization
Zusatzinfo	VIII, 127 p. 2 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	219 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Convex Optimization Problems • Krasnoselskii-Mann Iterative Method • nonexpansive mappings • Nonlinear Mappings • optimization algorithms
ISBN-10	3-030-91653-7 / 3030916537
ISBN-13	978-3-030-91653-4 / 9783030916534
Zustand	Neuware