The method of alternating resolvents revisited

Journal article

Authors / Editors

Oganeditse, Boikanyo

Research Areas

ENGINEERING AND TECHNOLOGY (Frascati classification)

Publication Details

Subtitle: The method of alternating resolvents revisited

Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles

Publication year: 2012

Journal: Numerical Functional Analysis and Optimization (0163-0563)

Volume number: 33

Issue number: 11

Start page: 1280

End page: 1287

Number of pages: 8

ISSN: 0163-0563

eISSN: 1532-2467

URL: https://www.tandfonline.com

Languages: English-United States (EN-US)

View on publisher site

Abstract

The purpose of this article is to prove a strong convergence result associated with a generalization of the method of alternating resolvents introduced by the authors in convergence of the method of alternating resolvents [4] under minimal assumptions on the control parameters involved. Thus, this article represents a significant improvement of the article mentioned above.

Keywords

Alternating resolvents, Maximal monotone operator, Nonexpansive map, Proximal point algorithm, Resolvent operator

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