A Strongly Convergent Viscosity-Type Inertial Algorithm with Self Adaptive Stepsize for Solving Split Variational Inclusion Problems in Hilbert Spaces

Pingjing Xia (), Gang Cai () and Qiao-Li Dong ()
Additional contact information
Pingjing Xia: Chongqing Normal University
Gang Cai: Chongqing Normal University
Qiao-Li Dong: Civil Aviation University of China

Networks and Spatial Economics, 2023, vol. 23, issue 4, No 5, 952 pages

Abstract: Abstract In this paper, we propose a new algorithm with inertial term and self-adaptive stepsize for solving the split variational inclusion problem (denoted by SVIP) in real Hilbert spaces. Under suitable conditions imposed on the parameters, we prove that our iterative scheme converges strongly to an element of the solution set of SVIP without the prior knowledge of the operator norm. Furthermore, we demonstrate that our suggested algorithm is efficient and achievable through some numerical experiments.

Keywords: Split variational inclusion problem; Strong convergence; Viscosity-type method; Inertial method; Self adaptive stepsize; 47H05; 47H07; 47H10; 54H25 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11067-023-09600-4 Abstract (text/html)
Access to full text is restricted to subscribers.

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:kap:netspa:v:23:y:2023:i:4:d:10.1007_s11067-023-09600-4

Ordering information: This journal article can be ordered from
http://www.springer. ... ce/journal/11067/PS2

DOI: 10.1007/s11067-023-09600-4

Access Statistics for this article

Networks and Spatial Economics is currently edited by Terry L. Friesz

More articles in Networks and Spatial Economics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().