INERTIAL METHOD FOR SPLIT NULL POINT PROBLEMS WITH PSEUDOMONOTONE VARIATIONAL INEQUALITY PROBLEMS

Chibueze Christian Okeke; Abdulmalik Usman Bello; Lateef Olakunle Jolaoso; Kingsley Chimuanya Ukandu

doi:10.3934/naco.2021037

INERTIAL METHOD FOR SPLIT NULL POINT PROBLEMS WITH PSEUDOMONOTONE VARIATIONAL INEQUALITY PROBLEMS

Chibueze Christian Okeke^*, Abdulmalik Usman Bello, Lateef Olakunle Jolaoso, Kingsley Chimuanya Ukandu

^*Corresponding author for this work

Mathematics and Applied Mathematics

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

3 Citations (Scopus)

Abstract

This paper analyzed the new extragradient type algorithm with inertial extrapolation step for solving self adaptive split null point problem and pseudomonotone variational inequality in real Hilbert space. Furthermore, in this study, a strong convergence result is obtained without assuming Lipschitz continuity of the associated mapping and the operator norm is self adaptive. Additionally, the proposed algorithm only uses one projections onto the feasible set in each iteration. More so, the strong convergence results are obtained under some relaxed conditions on the initial factor and the iterative parameters. Numerical results are presented to illustrate the performance of the proposed algorithm.The results obtained in this study improved and extended related studies in the literature.

Original language	English
Pages (from-to)	815-836
Number of pages	22
Journal	Numerical Algebra, Control and Optimization
Volume	12
Issue number	4
DOIs	https://doi.org/10.3934/naco.2021037
Publication status	Published - Dec 2022

Keywords

Hilbert Space
Pseudomonotone Operator
Split null point problem
Variational Inequality Problem
monotone operators

Access to Document

10.3934/naco.2021037

Cite this

@article{4c659b9dbf6941d5a55c02e6ed6de24e,

title = "INERTIAL METHOD FOR SPLIT NULL POINT PROBLEMS WITH PSEUDOMONOTONE VARIATIONAL INEQUALITY PROBLEMS",

abstract = "This paper analyzed the new extragradient type algorithm with inertial extrapolation step for solving self adaptive split null point problem and pseudomonotone variational inequality in real Hilbert space. Furthermore, in this study, a strong convergence result is obtained without assuming Lipschitz continuity of the associated mapping and the operator norm is self adaptive. Additionally, the proposed algorithm only uses one projections onto the feasible set in each iteration. More so, the strong convergence results are obtained under some relaxed conditions on the initial factor and the iterative parameters. Numerical results are presented to illustrate the performance of the proposed algorithm.The results obtained in this study improved and extended related studies in the literature.",

keywords = "Hilbert Space, Pseudomonotone Operator, Split null point problem, Variational Inequality Problem, monotone operators",

author = "Okeke, {Chibueze Christian} and Bello, {Abdulmalik Usman} and Jolaoso, {Lateef Olakunle} and Ukandu, {Kingsley Chimuanya}",

year = "2022",

month = dec,

doi = "10.3934/naco.2021037",

language = "English",

volume = "12",

pages = "815--836",

journal = "Numerical Algebra, Control and Optimization",

issn = "2155-3289",

publisher = "American Institute of Mathematical Sciences",

number = "4",

}

TY - JOUR

T1 - INERTIAL METHOD FOR SPLIT NULL POINT PROBLEMS WITH PSEUDOMONOTONE VARIATIONAL INEQUALITY PROBLEMS

AU - Okeke, Chibueze Christian

AU - Bello, Abdulmalik Usman

AU - Jolaoso, Lateef Olakunle

AU - Ukandu, Kingsley Chimuanya

PY - 2022/12

Y1 - 2022/12

N2 - This paper analyzed the new extragradient type algorithm with inertial extrapolation step for solving self adaptive split null point problem and pseudomonotone variational inequality in real Hilbert space. Furthermore, in this study, a strong convergence result is obtained without assuming Lipschitz continuity of the associated mapping and the operator norm is self adaptive. Additionally, the proposed algorithm only uses one projections onto the feasible set in each iteration. More so, the strong convergence results are obtained under some relaxed conditions on the initial factor and the iterative parameters. Numerical results are presented to illustrate the performance of the proposed algorithm.The results obtained in this study improved and extended related studies in the literature.

AB - This paper analyzed the new extragradient type algorithm with inertial extrapolation step for solving self adaptive split null point problem and pseudomonotone variational inequality in real Hilbert space. Furthermore, in this study, a strong convergence result is obtained without assuming Lipschitz continuity of the associated mapping and the operator norm is self adaptive. Additionally, the proposed algorithm only uses one projections onto the feasible set in each iteration. More so, the strong convergence results are obtained under some relaxed conditions on the initial factor and the iterative parameters. Numerical results are presented to illustrate the performance of the proposed algorithm.The results obtained in this study improved and extended related studies in the literature.

KW - Hilbert Space

KW - Pseudomonotone Operator

KW - Split null point problem

KW - Variational Inequality Problem

KW - monotone operators

UR - http://www.scopus.com/inward/record.url?scp=85138232529&partnerID=8YFLogxK

U2 - 10.3934/naco.2021037

DO - 10.3934/naco.2021037

M3 - Article

AN - SCOPUS:85138232529

SN - 2155-3289

VL - 12

SP - 815

EP - 836

JO - Numerical Algebra, Control and Optimization

JF - Numerical Algebra, Control and Optimization

IS - 4

ER -

INERTIAL METHOD FOR SPLIT NULL POINT PROBLEMS WITH PSEUDOMONOTONE VARIATIONAL INEQUALITY PROBLEMS

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this