1.

Record Nr.

UNINA9910767538903321

Autore

Dong Qiao-Li

Titolo

The Krasnosel'skiĭ-Mann Iterative Method : Recent Progress and Applications / / by Qiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos, Themistocles M. Rassias

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022

ISBN

3-030-91654-5

Edizione

[1st ed. 2022.]

Descrizione fisica

1 online resource (128 pages)

Collana

SpringerBriefs in Optimization, , 2191-575X

Disciplina

518.26

Soggetti

Approximation theory

Functions of real variables

Measure theory

Difference equations

Functional equations

Operator theory

Mathematical optimization

Approximations and Expansions

Real Functions

Measure and Integration

Difference and Functional Equations

Operator Theory

Optimization

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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



methods. .