Predictor-corrector methods for general mixed quasi variational inequalities

Muhammad Aslam Noor; Khalida Inayat Noor; Kamel Al-Khaled

doi:10.1016/j.amc.2003.08.060

Predictor-corrector methods for general mixed quasi variational inequalities

Muhammad Aslam Noor^*, Khalida Inayat Noor, Kamel Al-Khaled

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, we use the auxiliary principle technique to suggest a class of predictor-corrector methods for solving general mixed quasi variational inequalities. The convergence of the proposed methods only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems.

Original language	English
Pages (from-to)	643-652
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	157
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2003.08.060
Publication status	Published - Oct 15 2004
Externally published	Yes

Keywords

Auxiliary principle
Convergence
Fixed points
Iterative methods
Variational inequalities

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2003.08.060

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title = "Predictor-corrector methods for general mixed quasi variational inequalities",

abstract = "In this paper, we use the auxiliary principle technique to suggest a class of predictor-corrector methods for solving general mixed quasi variational inequalities. The convergence of the proposed methods only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems.",

keywords = "Auxiliary principle, Convergence, Fixed points, Iterative methods, Variational inequalities",

author = "{Aslam Noor}, Muhammad and {Inayat Noor}, Khalida and Kamel Al-Khaled",

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AU - Aslam Noor, Muhammad

AU - Inayat Noor, Khalida

AU - Al-Khaled, Kamel

PY - 2004/10/15

Y1 - 2004/10/15

N2 - In this paper, we use the auxiliary principle technique to suggest a class of predictor-corrector methods for solving general mixed quasi variational inequalities. The convergence of the proposed methods only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems.

AB - In this paper, we use the auxiliary principle technique to suggest a class of predictor-corrector methods for solving general mixed quasi variational inequalities. The convergence of the proposed methods only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems.

KW - Auxiliary principle

KW - Convergence

KW - Fixed points

KW - Iterative methods

KW - Variational inequalities

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SP - 643

EP - 652

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

Predictor-corrector methods for general mixed quasi variational inequalities

Abstract

Keywords

ASJC Scopus subject areas

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