Convergence Properties and Numerical Illustration of a Resolvent-Based Inertial Extrapolation Method for Variational Inclusions in Banach Space

Mohd Aftab Alam, Syed Shakaib Irfan and Iqbal Ahmad ()
Additional contact information
Mohd Aftab Alam: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Syed Shakaib Irfan: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Iqbal Ahmad: Department of Mechanical Engineering, College of Engineering, Qassim University, Saudi Arabia

Mathematics, 2025, vol. 13, issue 22, 1-17

Abstract: This paper examines H ( · , · ) -accretive mappings in Banach spaces and proves that the resolvent operator related to these mappings is Lipschitz continuous. Using the resolvent operator technique, we formulate iterative algorithms to solve a class of variational inclusions in Banach spaces. We also concentrate on examining the convergence of the problem by employing the inertial extrapolation scheme and proving the convergence of the iterative scheme produced by the algorithm. The theoretical analysis is corroborated with a numerical result, which highlights the effectiveness and practical relevance of the proposed approaches.

Keywords: algorithms; inclusion problem; resolvent operator; numerical result (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/22/3725/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/22/3725/ (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:13:y:2025:i:22:p:3725-:d:1798937

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 ().