The Split Feasibility Problem with Multiple Output Sets for Demicontractive Mappings

Fenghui Wang ()
Additional contact information
Fenghui Wang: Luoyang Normal University

Journal of Optimization Theory and Applications, 2022, vol. 195, issue 3, No 4, 837-853

Abstract: Abstract In Hilbert spaces, we study the split feasibility problem with multiple output sets for demicontractive mappings. For solving this problem, we propose an iterative method and construct two selection strategies of stepsizes, namely the fixed stepsize and the variable stepsize. Under appropriate conditions, we prove the weak convergence of the proposed iterative method and the strong convergence of its variant. Furthermore, the experimental results show that the stepsize we constructed is very helpful to improve the convergence speed of the iterative method.

Keywords: Split feasibility problem; Demiclosedness principle; Demicontractive mappings; 47J25; 47J20; 49N45; 65J15 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-022-02096-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:195:y:2022:i:3:d:10.1007_s10957-022-02096-x

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-022-02096-x

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().