The Krasnosel'skiĭ-Mann Iterative Method Recent Progress and Applications

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

Bibliographic Details
Main Authors: Dong, Qiao-Li, Cho, Yeol Je (Author), He, Songnian (Author), Pardalos, Panos M. (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:SpringerBriefs in Optimization
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 02066nmm a2200445 u 4500
001 EB002011260
003 EBX01000000000000001174159
005 00000000000000.0
007 cr|||||||||||||||||||||
008 220303 ||| eng
020 |a 9783030916541 
100 1 |a Dong, Qiao-Li 
245 0 0 |a The Krasnosel'skiĭ-Mann Iterative Method  |h Elektronische Ressource  |b Recent Progress and Applications  |c by Qiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos, Themistocles M. Rassias 
250 |a 1st ed. 2022 
260 |a Cham  |b Springer International Publishing  |c 2022, 2022 
300 |a VIII, 127 p. 2 illus  |b online resource 
505 0 |a 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 
653 |a Measure theory 
653 |a Difference equations 
653 |a Optimization 
653 |a Functions of real variables 
653 |a Approximations and Expansions 
653 |a Functional equations 
653 |a Difference and Functional Equations 
653 |a Operator theory 
653 |a Real Functions 
653 |a Operator Theory 
653 |a Measure and Integration 
653 |a Approximation theory 
653 |a Mathematical optimization 
700 1 |a Cho, Yeol Je  |e [author] 
700 1 |a He, Songnian  |e [author] 
700 1 |a Pardalos, Panos M.  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a SpringerBriefs in Optimization 
028 5 0 |a 10.1007/978-3-030-91654-1 
856 4 0 |u https://doi.org/10.1007/978-3-030-91654-1?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 511.4 
520 |a This brief explores the Krasnosel'skiĭ-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.