A modified projection method with a new direction for solving variational inequalities

Xihong Yan; Deren Han; Wenyu Sun

doi:10.1016/j.amc.2009.01.064

A modified projection method with a new direction for solving variational inequalities

Xihong Yan
, Deren Han^*
, Wenyu Sun

^*Corresponding author for this work

Nanjing Normal University
Taiyuan Normal University

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

6 Scopus citations

Abstract

In this paper, we propose a new projection method for solving variational inequality problems, which can be viewed as an improvement of the method of Li et al. [M. Li, L.Z. Liao, X.M. Yuan, A modified projection method for co-coercive variational inequality, European Journal of Operational Research 189 (2008) 310-323], by adopting a new direction. Under the same assumptions as those in Li et al. (2008), we establish the global convergence of the proposed algorithm. Some preliminary computational results are reported, which illustrated that the new method is more efficient than the method of Li et al. (2008).

Original language	English
Pages (from-to)	118-129
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	211
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2009.01.064
State	Published - 1 May 2009
Externally published	Yes

Keywords

Co-coercive mappings
Global convergence
Profitable directions
Projection methods
Variational inequalities

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10.1016/j.amc.2009.01.064

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title = "A modified projection method with a new direction for solving variational inequalities",

abstract = "In this paper, we propose a new projection method for solving variational inequality problems, which can be viewed as an improvement of the method of Li et al. [M. Li, L.Z. Liao, X.M. Yuan, A modified projection method for co-coercive variational inequality, European Journal of Operational Research 189 (2008) 310-323], by adopting a new direction. Under the same assumptions as those in Li et al. (2008), we establish the global convergence of the proposed algorithm. Some preliminary computational results are reported, which illustrated that the new method is more efficient than the method of Li et al. (2008).",

keywords = "Co-coercive mappings, Global convergence, Profitable directions, Projection methods, Variational inequalities",

author = "Xihong Yan and Deren Han and Wenyu Sun",

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doi = "10.1016/j.amc.2009.01.064",

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T1 - A modified projection method with a new direction for solving variational inequalities

AU - Yan, Xihong

AU - Han, Deren

AU - Sun, Wenyu

PY - 2009/5/1

Y1 - 2009/5/1

N2 - In this paper, we propose a new projection method for solving variational inequality problems, which can be viewed as an improvement of the method of Li et al. [M. Li, L.Z. Liao, X.M. Yuan, A modified projection method for co-coercive variational inequality, European Journal of Operational Research 189 (2008) 310-323], by adopting a new direction. Under the same assumptions as those in Li et al. (2008), we establish the global convergence of the proposed algorithm. Some preliminary computational results are reported, which illustrated that the new method is more efficient than the method of Li et al. (2008).

AB - In this paper, we propose a new projection method for solving variational inequality problems, which can be viewed as an improvement of the method of Li et al. [M. Li, L.Z. Liao, X.M. Yuan, A modified projection method for co-coercive variational inequality, European Journal of Operational Research 189 (2008) 310-323], by adopting a new direction. Under the same assumptions as those in Li et al. (2008), we establish the global convergence of the proposed algorithm. Some preliminary computational results are reported, which illustrated that the new method is more efficient than the method of Li et al. (2008).

KW - Co-coercive mappings

KW - Global convergence

KW - Profitable directions

KW - Projection methods

KW - Variational inequalities

UR - https://www.scopus.com/pages/publications/64049114870

U2 - 10.1016/j.amc.2009.01.064

DO - 10.1016/j.amc.2009.01.064

M3 - 文章

AN - SCOPUS:64049114870

SN - 0096-3003

VL - 211

SP - 118

EP - 129

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

A modified projection method with a new direction for solving variational inequalities

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Keywords

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