A globally convergent Newton method for solving strongly monotone variational inequalities

Mathematical Programming ◽

10.1007/bf01581276 ◽

1993 ◽

Vol 58 (1-3) ◽

pp. 369-383 ◽

Author(s):

Kouichi Taji ◽

Masao Fukushima ◽

Toshihide Ibaraki

Keyword(s):

Variational Inequalities ◽

Newton Method ◽

Monotone Variational Inequalities ◽

Strongly Monotone ◽

Globally Convergent

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A NOTE ON GLOBALLY CONVERGENT NEWTON METHOD FOR STRONGLY MONOTONE VARIATIONAL INEQUALITIES

Journal of the Operations Research Society of Japan ◽

10.15807/jorsj.51.310 ◽

2008 ◽

Vol 51 (4) ◽

pp. 310-316 ◽

Author(s):

Kouichi Taji

Keyword(s):

Variational Inequalities ◽

Newton Method ◽

Monotone Variational Inequalities ◽

Strongly Monotone ◽

Globally Convergent

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A note on a globally convergent Newton method for solving monotone variational inequalities

Operations Research Letters ◽

10.1016/0167-6377(87)90007-1 ◽

1987 ◽

Vol 6 (1) ◽

pp. 35-42 ◽

Author(s):

Patrice Marcotte ◽

Jean-Pierre Dussault

Keyword(s):

Variational Inequalities ◽

Newton Method ◽

Monotone Variational Inequalities ◽

Globally Convergent

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Explicit and Implicit Continuation Algorithms for Strongly Monotone Variational Inequalities with Box Constraints

Journal of Global Optimization ◽

10.1023/b:jogo.0000035001.77804.f9 ◽

2004 ◽

Vol 29 (1) ◽

pp. 83-25 ◽

Author(s):

Jin-Bao Jian ◽

Xing-De Mo ◽

Jian-Ling Li

Keyword(s):

Variational Inequalities ◽

Box Constraints ◽

Monotone Variational Inequalities ◽

Strongly Monotone

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Cea's error estimate for strongly monotone variational inequalities

Applicable Analysis ◽

10.1080/00036819208840082 ◽

1992 ◽

Vol 44 (3-4) ◽

pp. 253-266

Author(s):

Joachim Gwinner

Keyword(s):

Variational Inequalities ◽

Error Estimate ◽

Monotone Variational Inequalities ◽

Strongly Monotone

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Erratum: Optimal Control of Strongly Monotone Variational Inequalities

SIAM Journal on Control and Optimization ◽

10.1137/0328012 ◽

1990 ◽

Vol 28 (1) ◽

pp. 243-249 ◽

Author(s):

Shuzhong Shi

Keyword(s):

Optimal Control ◽

Variational Inequalities ◽

Monotone Variational Inequalities ◽

Strongly Monotone

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A Note on Continuation Method for Strongly Monotone Variational Inequalities under Slater's Constraint Qualification

Transactions of the Institute of Systems Control and Information Engineers ◽

10.5687/iscie.16.591 ◽

2003 ◽

Vol 16 (11) ◽

pp. 591-596

Author(s):

Kouichi TAJI ◽

Hiroyuki UCHIYAMA

Keyword(s):

Variational Inequalities ◽

Constraint Qualification ◽

Continuation Method ◽

Monotone Variational Inequalities ◽

Strongly Monotone ◽

Slater's Constraint Qualification

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Self-adaptive iterative method for solving boundedly Lipschitz continuous and strongly monotone variational inequalities

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1941-2 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Songnian He ◽

Lili Liu ◽

Aviv Gibali

Keyword(s):

Iterative Method ◽

Variational Inequalities ◽

Monotone Variational Inequalities ◽

Lipschitz Continuous ◽

Strongly Monotone ◽

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Optimal Control of Strongly Monotone Variational Inequalities

SIAM Journal on Control and Optimization ◽

10.1137/0326016 ◽

1988 ◽

Vol 26 (2) ◽

pp. 274-290 ◽

Author(s):

ShuZhong Shi

Keyword(s):

Optimal Control ◽

Variational Inequalities ◽

Monotone Variational Inequalities ◽

Strongly Monotone

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Modified Goldstein–Levitin–Polyak Projection Method for Asymmetric Strongly Monotone Variational Inequalities

Journal of Optimization Theory and Applications ◽

10.1023/a:1013048729944 ◽

2002 ◽

Vol 112 (1) ◽

pp. 129-143 ◽

Author(s):

B. S. He ◽

H. Yang ◽

Q. Meng ◽

D. R. Han

Keyword(s):

Variational Inequalities ◽

Projection Method ◽

Monotone Variational Inequalities ◽

Strongly Monotone

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Approximate Analytic Center Quadratic Cut Method for Strongly Monotone Variational Inequalities

Nonconvex Optimization and Its Applications - Advances in Convex Analysis and Global Optimization ◽

10.1007/978-1-4613-0279-7_20 ◽

2001 ◽

pp. 345-360 ◽

Author(s):

Hans-Jakob Lüthi ◽

Benno Büeler

Keyword(s):

Variational Inequalities ◽

Analytic Center ◽

Monotone Variational Inequalities ◽

Strongly Monotone ◽

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