A modified iterative Lavrentiev method for nonlinear monotone ill-posed operators

D. Pradeep () and M. P. Rajan ()
Additional contact information
D. Pradeep: Department of Mathematics, Government College Ambalapuzha
M. P. Rajan: School of Mathematics, Indian Institute of Science Education and Research Thiruvananthapuram

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 1, 341-356

Abstract: Abstract In this paper, we consider an iterative scheme for solving nonlinear ill-posed operator equations of monotone types under minimal and weaker assumptions. The convergence analysis of the scheme is carried out with both a priori and a posteriori parameter choice strategies and the error estimate is derived accordingly. Finally, we supply numerical examples to illustrate the proposed scheme by considering the model of nonlinear integral equations in Wiener-type filtering theory, and the efficiency of the proposed scheme is compared with other schemes.

Keywords: Nonlinear Ill-posed Problems; Regularization; Inverse Problems; Iterative Method; Parameter Choice Rule; 65J10; 65J20; 65J22; 47L10 (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-023-00368-4 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:indpam:v:55:y:2024:i:1:d:10.1007_s13226-023-00368-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-023-00368-4

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().