A projection descent method for solving variational inequalities

Abdellah Bnouhachem; Qamrul Hasan Ansari; Ching Feng Wen

doi:10.1186/s13660-015-0665-9

A projection descent method for solving variational inequalities

Abdellah Bnouhachem
, Qamrul Hasan Ansari
, Ching Feng Wen^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

3 Scopus citations

Abstract

In this paper, we propose a descent direction method for solving variational inequalities. A new iterate is obtained by searching the optimal step size along a new descent direction which is obtained by the linear combination of two descent directions. Under suitable conditions, the global convergence of the proposed method is studied. Two numerical experiments are presented to illustrate the efficiency of the proposed method.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Journal of Inequalities and Applications
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13660-015-0665-9
State	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Bnouhachem et al.; licensee Springer.

Keywords

projection method
pseudomonotone operators
self-adaptive rules
variational inequalities

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-015-0665-9

Cite this

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title = "A projection descent method for solving variational inequalities",

abstract = "In this paper, we propose a descent direction method for solving variational inequalities. A new iterate is obtained by searching the optimal step size along a new descent direction which is obtained by the linear combination of two descent directions. Under suitable conditions, the global convergence of the proposed method is studied. Two numerical experiments are presented to illustrate the efficiency of the proposed method.",

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AU - Bnouhachem, Abdellah

AU - Ansari, Qamrul Hasan

AU - Wen, Ching Feng

PY - 2015/12/1

Y1 - 2015/12/1

N2 - In this paper, we propose a descent direction method for solving variational inequalities. A new iterate is obtained by searching the optimal step size along a new descent direction which is obtained by the linear combination of two descent directions. Under suitable conditions, the global convergence of the proposed method is studied. Two numerical experiments are presented to illustrate the efficiency of the proposed method.

AB - In this paper, we propose a descent direction method for solving variational inequalities. A new iterate is obtained by searching the optimal step size along a new descent direction which is obtained by the linear combination of two descent directions. Under suitable conditions, the global convergence of the proposed method is studied. Two numerical experiments are presented to illustrate the efficiency of the proposed method.

KW - projection method

KW - pseudomonotone operators

KW - self-adaptive rules

KW - variational inequalities

UR - https://www.scopus.com/pages/publications/84928782549

U2 - 10.1186/s13660-015-0665-9

DO - 10.1186/s13660-015-0665-9

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SP - 1

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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ER -

A projection descent method for solving variational inequalities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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