Relaxed projection and contraction methods for solving Lipschitz continuous monotone variational inequalities

Songnian He; Qiao-Li Dong; Hanlin Tian

doi:10.1007/s13398-019-00658-9

Relaxed projection and contraction methods for solving Lipschitz continuous monotone variational inequalities

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-019-00658-9 ◽

2019 ◽

Vol 113 (3) ◽

pp. 2773-2791 ◽

Cited By ~ 1

Author(s):

Songnian He ◽

Qiao-Li Dong ◽

Hanlin Tian

Keyword(s):

Variational Inequalities ◽

Monotone Variational Inequalities ◽

Lipschitz Continuous ◽

Projection And Contraction Methods

A class of projection and contraction methods for monotone variational inequalities

Applied Mathematics & Optimization ◽

10.1007/bf02683320 ◽

1997 ◽

Vol 35 (1) ◽

pp. 69-76 ◽

Cited By ~ 115

Author(s):

Bingsheng He

Keyword(s):

Variational Inequalities ◽

Monotone Variational Inequalities ◽

Projection And Contraction Methods

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) ◽

Cited By ~ 1

Author(s):

Songnian He ◽

Lili Liu ◽

Aviv Gibali

Keyword(s):

Iterative Method ◽

Variational Inequalities ◽

Monotone Variational Inequalities ◽

Lipschitz Continuous ◽

Strongly Monotone ◽

Self Adaptive

On the O(1/t) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators

Computational Optimization and Applications ◽

10.1007/s10589-013-9599-7 ◽

2013 ◽

Vol 57 (2) ◽

pp. 339-363 ◽

Cited By ~ 34

Author(s):

Xingju Cai ◽

Guoyong Gu ◽

Bingsheng He

Keyword(s):

Convergence Rate ◽

Variational Inequalities ◽

Monotone Operators ◽

Lipschitz Continuous ◽

Projection And Contraction Methods

A Class of Projection and Contraction Methods for Monotone Variational Inequalities

Applied Mathematics & Optimization ◽

10.1007/s002459900037 ◽

1997 ◽

Vol 35 (1) ◽

pp. 69-76 ◽

Cited By ~ 42

Author(s):

Bingsheng He

Keyword(s):

Variational Inequalities ◽

Monotone Variational Inequalities ◽

Projection And Contraction Methods

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 ◽

Cited By ~ 1

Author(s):

Jin-Bao Jian ◽

Xing-De Mo ◽

Jian-Ling Li

Keyword(s):

Variational Inequalities ◽

Box Constraints ◽

Monotone Variational Inequalities ◽

Strongly Monotone

Interior projection-like methods for monotone variational inequalities

Mathematical Programming ◽

10.1007/s10107-004-0568-x ◽

2005 ◽

Vol 104 (1) ◽

pp. 39-68 ◽

Cited By ~ 51

Author(s):

Alfred Auslender ◽

Marc Teboulle

Keyword(s):

Variational Inequalities ◽

Monotone Variational Inequalities

Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities

Operations Research Letters ◽

10.1016/s0167-6377(98)00044-3 ◽

1998 ◽

Vol 23 (3-5) ◽

pp. 151-161 ◽

Cited By ~ 88

Author(s):

Bingsheng He ◽

Hai Yang

Keyword(s):

Variational Inequalities ◽

Method Of Multipliers ◽

Monotone Variational Inequalities ◽

Convergence Properties ◽

Linearly Constrained

A descent method for structured monotone variational inequalities

Optimization Methods and Software ◽

10.1080/10556780600552693 ◽

2007 ◽

Vol 22 (2) ◽

pp. 329-338 ◽

Cited By ~ 35

Author(s):

Cai-Hong Ye ◽

Xiao-Ming Yuan

Keyword(s):

Variational Inequalities ◽

Descent Method ◽

Monotone Variational Inequalities

Chapter 16 Direct iterative methods for monotone variational inequalities

Mathematics in Science and Engineering - Equilibrium Models and Variational Inequalities ◽

10.1016/s0076-5392(07)80039-7 ◽

2007 ◽

pp. 197-204

Keyword(s):

Variational Inequalities ◽

Iterative Methods ◽

Monotone Variational Inequalities

Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-018-0656-9 ◽

2019 ◽

Vol 21 (1) ◽

Cited By ~ 7

Author(s):

Duong Viet Thong ◽

Aviv Gibali

Keyword(s):

Variational Inequalities ◽

Monotone Variational Inequalities ◽

Extragradient Methods