An iterative method for general variational inclusion with application

Mohammad Akram; Izhar Ahmad

doi:10.1007/s12597-025-00941-x

An iterative method for general variational inclusion with application

Mohammad Akram^*
, Izhar Ahmad

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Herein, we set up a novel iterative technique termed as the R-iterative algorithm. We show that the newly constructed scheme is more efficient than some existing iterative algorithms. Further, a general variational inclusion problem is approximated by utilizing our algorithm and the theoretical claims are exemplified. As an application, we utilize our newly developed scheme to examine a delay differential equation.

Original language	English
Journal	OPSEARCH
DOIs	https://doi.org/10.1007/s12597-025-00941-x
State	Accepted/In press - 2025

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Operational Research Society of India 2025.

Keywords

(G,η)-accretive mapping
Delay differential equation
Iterative algorithm
Strong convergence
Variational inclusion

ASJC Scopus subject areas

Management Information Systems
Information Systems
Computer Science Applications
Management Science and Operations Research

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10.1007/s12597-025-00941-x

Cite this

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title = "An iterative method for general variational inclusion with application",

abstract = "Herein, we set up a novel iterative technique termed as the R-iterative algorithm. We show that the newly constructed scheme is more efficient than some existing iterative algorithms. Further, a general variational inclusion problem is approximated by utilizing our algorithm and the theoretical claims are exemplified. As an application, we utilize our newly developed scheme to examine a delay differential equation.",

keywords = "(G,η)-accretive mapping, Delay differential equation, Iterative algorithm, Strong convergence, Variational inclusion",

author = "Mohammad Akram and Izhar Ahmad",

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Y1 - 2025

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AB - Herein, we set up a novel iterative technique termed as the R-iterative algorithm. We show that the newly constructed scheme is more efficient than some existing iterative algorithms. Further, a general variational inclusion problem is approximated by utilizing our algorithm and the theoretical claims are exemplified. As an application, we utilize our newly developed scheme to examine a delay differential equation.

KW - (G,η)-accretive mapping

KW - Delay differential equation

KW - Iterative algorithm

KW - Strong convergence

KW - Variational inclusion

UR - https://www.scopus.com/pages/publications/105005220535

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JF - OPSEARCH

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An iterative method for general variational inclusion with application

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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