A MODIFIED INERTIAL PROJECTION AND CONTRACTION METHOD FOR SOLVING BILEVEL SPLIT VARIATIONAL INEQUALITY PROBLEMS

G. C. Ugwunnadi; C. Izuchukwu; L. O. Jolaoso; C. C. Okeke; K. O. Aremu

doi:10.23952/asvao.4.2022.1.04

A MODIFIED INERTIAL PROJECTION AND CONTRACTION METHOD FOR SOLVING BILEVEL SPLIT VARIATIONAL INEQUALITY PROBLEMS

G. C. Ugwunnadi, C. Izuchukwu^*, L. O. Jolaoso, C. C. Okeke, K. O. Aremu

^*Corresponding author for this work

Mathematics and Applied Mathematics

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

5 Citations (Scopus)

Abstract

The main purpose of this paper is to study a bilevel split variational inequality problem in two real Hilbert spaces. We propose a new modified inertial projection and contraction method for solving this problem when one of the cost operators is pseudomonotone and Lipschitz continuous, but not sequentially weakly continuous. Strong convergence of the proposed method is established and numerical examples are given to support our theoretical findings.

Original language	English
Pages (from-to)	55-71
Number of pages	17
Journal	Applied Set-Valued Analysis and Optimization
Volume	4
Issue number	1
DOIs	https://doi.org/10.23952/asvao.4.2022.1.04
Publication status	Published - 2022

Keywords

Bilevel split variational inequality problem
Generalized demimetric mapping
Projection and contraction method
Pseudomonotone operator

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10.23952/asvao.4.2022.1.04

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abstract = "The main purpose of this paper is to study a bilevel split variational inequality problem in two real Hilbert spaces. We propose a new modified inertial projection and contraction method for solving this problem when one of the cost operators is pseudomonotone and Lipschitz continuous, but not sequentially weakly continuous. Strong convergence of the proposed method is established and numerical examples are given to support our theoretical findings.",

keywords = "Bilevel split variational inequality problem, Generalized demimetric mapping, Projection and contraction method, Pseudomonotone operator",

author = "Ugwunnadi, {G. C.} and C. Izuchukwu and Jolaoso, {L. O.} and Okeke, {C. C.} and Aremu, {K. O.}",

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AU - Ugwunnadi, G. C.

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AU - Jolaoso, L. O.

AU - Okeke, C. C.

AU - Aremu, K. O.

PY - 2022

Y1 - 2022

N2 - The main purpose of this paper is to study a bilevel split variational inequality problem in two real Hilbert spaces. We propose a new modified inertial projection and contraction method for solving this problem when one of the cost operators is pseudomonotone and Lipschitz continuous, but not sequentially weakly continuous. Strong convergence of the proposed method is established and numerical examples are given to support our theoretical findings.

AB - The main purpose of this paper is to study a bilevel split variational inequality problem in two real Hilbert spaces. We propose a new modified inertial projection and contraction method for solving this problem when one of the cost operators is pseudomonotone and Lipschitz continuous, but not sequentially weakly continuous. Strong convergence of the proposed method is established and numerical examples are given to support our theoretical findings.

KW - Bilevel split variational inequality problem

KW - Generalized demimetric mapping

KW - Projection and contraction method

KW - Pseudomonotone operator

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ER -

A MODIFIED INERTIAL PROJECTION AND CONTRACTION METHOD FOR SOLVING BILEVEL SPLIT VARIATIONAL INEQUALITY PROBLEMS

Abstract

Keywords

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