INERTIAL EXTRAPOLATION METHOD WITH REGULARIZATION FOR SOLVING MONOTONE BILEVEL VARIATION INEQUALITIES AND FIXED POINT PROBLEMS

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

doi:10.23952/jnfa.2022.5

INERTIAL EXTRAPOLATION METHOD WITH REGULARIZATION FOR SOLVING MONOTONE BILEVEL VARIATION INEQUALITIES AND FIXED POINT PROBLEMS

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

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

The purpose of this paper is to introduce a generalized inertial extrapolation iterative method with regularization for approximating a solution of monotone and Lipschitz variational inequality and fixed point problems. In real Hilbert spaces, the strong convergence of the iterative method is obtained under certain conditions imposed on regularization parameters. Some numerical experiments are provided to show the efficiency and applicability of the proposed method.

Original language	English
Article number	5
Journal	Journal of Nonlinear Functional Analysis
Volume	2022
DOIs	https://doi.org/10.23952/jnfa.2022.5
Publication status	Published - 2022
Externally published	Yes

Keywords

Bilevel variational inequality
Fixed point
Inertial iterative scheme
Nonexpansive mapping

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10.23952/jnfa.2022.5

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title = "INERTIAL EXTRAPOLATION METHOD WITH REGULARIZATION FOR SOLVING MONOTONE BILEVEL VARIATION INEQUALITIES AND FIXED POINT PROBLEMS",

abstract = "The purpose of this paper is to introduce a generalized inertial extrapolation iterative method with regularization for approximating a solution of monotone and Lipschitz variational inequality and fixed point problems. In real Hilbert spaces, the strong convergence of the iterative method is obtained under certain conditions imposed on regularization parameters. Some numerical experiments are provided to show the efficiency and applicability of the proposed method.",

keywords = "Bilevel variational inequality, Fixed point, Inertial iterative scheme, Nonexpansive mapping",

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

note = "Publisher Copyright: {\textcopyright} 2022 Journal of Nonlinear Functional Analysis",

year = "2022",

doi = "10.23952/jnfa.2022.5",

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journal = "Journal of Nonlinear Functional Analysis",

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AU - Akutsah, Francis

AU - Mebawondu, Akindele Adebayo

AU - Ugwunnadi, Godwin Chidi

AU - Narain, Ojen Kumar

PY - 2022

Y1 - 2022

N2 - The purpose of this paper is to introduce a generalized inertial extrapolation iterative method with regularization for approximating a solution of monotone and Lipschitz variational inequality and fixed point problems. In real Hilbert spaces, the strong convergence of the iterative method is obtained under certain conditions imposed on regularization parameters. Some numerical experiments are provided to show the efficiency and applicability of the proposed method.

AB - The purpose of this paper is to introduce a generalized inertial extrapolation iterative method with regularization for approximating a solution of monotone and Lipschitz variational inequality and fixed point problems. In real Hilbert spaces, the strong convergence of the iterative method is obtained under certain conditions imposed on regularization parameters. Some numerical experiments are provided to show the efficiency and applicability of the proposed method.

KW - Bilevel variational inequality

KW - Fixed point

KW - Inertial iterative scheme

KW - Nonexpansive mapping

UR - https://www.scopus.com/pages/publications/85133761533

U2 - 10.23952/jnfa.2022.5

DO - 10.23952/jnfa.2022.5

M3 - Article

AN - SCOPUS:85133761533

SN - 2052-532X

VL - 2022

JO - Journal of Nonlinear Functional Analysis

JF - Journal of Nonlinear Functional Analysis

M1 - 5

ER -

INERTIAL EXTRAPOLATION METHOD WITH REGULARIZATION FOR SOLVING MONOTONE BILEVEL VARIATION INEQUALITIES AND FIXED POINT PROBLEMS

Abstract

Keywords

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