EconPapers    
Economics at your fingertips  
 

Extension and Application of the Yamada Iteration Algorithm in Hilbert Spaces

Ming Tian and Meng-Ying Tong
Additional contact information
Ming Tian: College of Science, Civil Aviation University of China, Tianjin 300300, China
Meng-Ying Tong: College of Science, Civil Aviation University of China, Tianjin 300300, China

Mathematics, 2019, vol. 7, issue 3, 1-13

Abstract: In this paper, based on the Yamada iteration, we propose an iteration algorithm to find a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse strongly-monotone mapping. We obtain a weak convergence theorem in Hilbert space. In particular, the set of zero points of an inverse strongly-monotone mapping can be transformed into the solution set of the variational inequality problem. Further, based on this result, we also obtain some new weak convergence theorems which are used to solve the equilibrium problem and the split feasibility problem.

Keywords: Yamada iteration; nonexpansive mappings; inverse strongly-monotone mappings; variational inequality; zero point; iterative method; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/3/215/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/3/215/ (text/html)

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:gam:jmathe:v:7:y:2019:i:3:p:215-:d:209074

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().

 
Page updated 2025-03-19
Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:215-:d:209074