Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces

Francis Akutsah; Akindele Adebayo Mebawondu; Godwin Chidi Ugwunnadi; Paranjothi Pillay; Ojen Kumar Narain

doi:10.1007/s40324-022-00293-2

Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces

Francis Akutsah, Akindele Adebayo Mebawondu^*, Godwin Chidi Ugwunnadi, Paranjothi Pillay, Ojen Kumar Narain

^*Corresponding author for this work

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

Abstract

The purpose of this paper is to introduce a new class of bilevel problem in the frame work of a real Hilbert space. In addition, we introduce an inertial iterative method with a regularization term and we establish the strong convergence of the resulting methods under certain conditions imposed on regularization parameters. Finally, we present some numerical experiments to show the efficiency and applicability of the proposed method. The results obtained in this paper extend, generalize and improve several results in this direction.

Original language	English
Pages (from-to)	503-524
Number of pages	22
Journal	SeMA Journal
Volume	80
Issue number	3
DOIs	https://doi.org/10.1007/s40324-022-00293-2
Publication status	Published - Sept 2023
Externally published	Yes

Keywords

Bilevel variational inequality
Fixed point problem
Inertial iterative scheme
Split feasibility problem
Split variational inequality problem

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10.1007/s40324-022-00293-2

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title = "Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces",

abstract = "The purpose of this paper is to introduce a new class of bilevel problem in the frame work of a real Hilbert space. In addition, we introduce an inertial iterative method with a regularization term and we establish the strong convergence of the resulting methods under certain conditions imposed on regularization parameters. Finally, we present some numerical experiments to show the efficiency and applicability of the proposed method. The results obtained in this paper extend, generalize and improve several results in this direction.",

keywords = "Bilevel variational inequality, Fixed point problem, Inertial iterative scheme, Split feasibility problem, Split variational inequality problem",

author = "Francis Akutsah and Mebawondu, {Akindele Adebayo} and Ugwunnadi, {Godwin Chidi} and Paranjothi Pillay and Narain, {Ojen Kumar}",

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doi = "10.1007/s40324-022-00293-2",

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T1 - Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces

AU - Akutsah, Francis

AU - Mebawondu, Akindele Adebayo

AU - Ugwunnadi, Godwin Chidi

AU - Pillay, Paranjothi

AU - Narain, Ojen Kumar

PY - 2023/9

Y1 - 2023/9

N2 - The purpose of this paper is to introduce a new class of bilevel problem in the frame work of a real Hilbert space. In addition, we introduce an inertial iterative method with a regularization term and we establish the strong convergence of the resulting methods under certain conditions imposed on regularization parameters. Finally, we present some numerical experiments to show the efficiency and applicability of the proposed method. The results obtained in this paper extend, generalize and improve several results in this direction.

AB - The purpose of this paper is to introduce a new class of bilevel problem in the frame work of a real Hilbert space. In addition, we introduce an inertial iterative method with a regularization term and we establish the strong convergence of the resulting methods under certain conditions imposed on regularization parameters. Finally, we present some numerical experiments to show the efficiency and applicability of the proposed method. The results obtained in this paper extend, generalize and improve several results in this direction.

KW - Bilevel variational inequality

KW - Fixed point problem

KW - Inertial iterative scheme

KW - Split feasibility problem

KW - Split variational inequality problem

UR - http://www.scopus.com/inward/record.url?scp=85127617596&partnerID=8YFLogxK

U2 - 10.1007/s40324-022-00293-2

DO - 10.1007/s40324-022-00293-2

M3 - Article

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SN - 2254-3902

VL - 80

SP - 503

EP - 524

JO - SeMA Journal

JF - SeMA Journal

IS - 3

ER -

Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces

Abstract

Keywords

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