A Fast Fixed-Point Algorithm for Convex Minimization Problems and Its Application in Image Restoration Problems

Panadda Thongpaen and Rattanakorn Wattanataweekul
Additional contact information
Panadda Thongpaen: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Rattanakorn Wattanataweekul: Department of Mathematics, Statistics and Computer, Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani 34190, Thailand

Mathematics, 2021, vol. 9, issue 20, 1-13

Abstract: In this paper, we introduce a new iterative method using an inertial technique for approximating a common fixed point of an infinite family of nonexpansive mappings in a Hilbert space. The proposed method’s weak convergence theorem was established under some suitable conditions. Furthermore, we applied our main results to solve convex minimization problems and image restoration problems.

Keywords: common fixed points; Hilbert spaces; nonexpansive mappings; weak convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/20/2619/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/20/2619/ (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:9:y:2021:i:20:p:2619-:d:658338

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 ().