A new linear convergence method for a lipschitz pseudomonotone variational inequality

R. N. Nwokoye; C. C. Okeke; Y. Shehu

doi:10.23952/asvao.3.2021.2.06

A new linear convergence method for a lipschitz pseudomonotone variational inequality

R. N. Nwokoye
, C. C. Okeke
, Y. Shehu^*

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

In this paper, a new method for solving variational inequalities for which the underline cost function is strongly-pseudomonotone and Lipschitz continuous is proposed and linear convergence is obtained in real Hilbert spaces under some mild assumptions.

Original language	English
Pages (from-to)	215-220
Number of pages	6
Journal	Applied Set-Valued Analysis and Optimization
Volume	3
Issue number	2
DOIs	https://doi.org/10.23952/asvao.3.2021.2.06
Publication status	Published - Aug 2021
Externally published	Yes

Keywords

Linear Convergence
Pseudomonotone operator
Variational inequality

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10.23952/asvao.3.2021.2.06

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title = "A new linear convergence method for a lipschitz pseudomonotone variational inequality",

abstract = "In this paper, a new method for solving variational inequalities for which the underline cost function is strongly-pseudomonotone and Lipschitz continuous is proposed and linear convergence is obtained in real Hilbert spaces under some mild assumptions.",

keywords = "Linear Convergence, Pseudomonotone operator, Variational inequality",

author = "Nwokoye, \{R. N.\} and Okeke, \{C. C.\} and Y. Shehu",

note = "Publisher Copyright: {\textcopyright}2021 Applied Set-Valued Analysis and Optimization",

year = "2021",

month = aug,

doi = "10.23952/asvao.3.2021.2.06",

language = "English",

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T1 - A new linear convergence method for a lipschitz pseudomonotone variational inequality

AU - Nwokoye, R. N.

AU - Okeke, C. C.

AU - Shehu, Y.

PY - 2021/8

Y1 - 2021/8

N2 - In this paper, a new method for solving variational inequalities for which the underline cost function is strongly-pseudomonotone and Lipschitz continuous is proposed and linear convergence is obtained in real Hilbert spaces under some mild assumptions.

AB - In this paper, a new method for solving variational inequalities for which the underline cost function is strongly-pseudomonotone and Lipschitz continuous is proposed and linear convergence is obtained in real Hilbert spaces under some mild assumptions.

KW - Linear Convergence

KW - Pseudomonotone operator

KW - Variational inequality

UR - https://www.scopus.com/pages/publications/85105790106

U2 - 10.23952/asvao.3.2021.2.06

DO - 10.23952/asvao.3.2021.2.06

M3 - Article

AN - SCOPUS:85105790106

SN - 2562-7775

VL - 3

SP - 215

EP - 220

JO - Applied Set-Valued Analysis and Optimization

JF - Applied Set-Valued Analysis and Optimization

IS - 2

ER -

A new linear convergence method for a lipschitz pseudomonotone variational inequality

Abstract

Keywords

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