Lipschitzian stability of parametric variational inequalities over generalized polyhedra in Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2010.09.001 ◽

2011 ◽

Vol 74 (2) ◽

pp. 441-461 ◽

Author(s):

Liqun Ban ◽

Boris S. Mordukhovich ◽

Wen Song

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Lipschitzian Stability

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The generalized -projection operator and set-valued variational inequalities in Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2009.01.082 ◽

2009 ◽

Vol 71 (7-8) ◽

pp. 2481-2490 ◽

Author(s):

Ke-Qing Wu ◽

Nan-Jing Huang

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Projection Operator ◽

Generalized Projection ◽

Generalized Projection Operator

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Nonzero solutions for a class of set-valued variational inequalities in reflexive Banach spaces

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.12.005 ◽

2008 ◽

Vol 56 (1) ◽

pp. 233-241

Author(s):

Jianghua Fan ◽

Wenhong Wei

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Reflexive Banach Spaces

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The Galerkin Method and Regularization for Variational Inequalities in Reflexive Banach Spaces

Journal of Optimization Theory and Applications ◽

10.1007/s10957-021-01844-9 ◽

2021 ◽

Author(s):

Bui Trong Kien ◽

Xiaolong Qin ◽

Ching-Feng Wen ◽

Jen-Chih Yao

Keyword(s):

Variational Inequalities ◽

Galerkin Method ◽

Banach Spaces ◽

Reflexive Banach Spaces ◽

The Galerkin Method

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A Bregman subgradient extragradient method with self-adaptive technique for solving variational inequalities in reflexive Banach spaces

Optimization ◽

10.1080/02331934.2021.1925669 ◽

2021 ◽

pp. 1-26

Author(s):

L. O. Jolaoso ◽

O.K. Oyewole ◽

K.O. Aremu

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Extragradient Method ◽

Subgradient Extragradient Method ◽

Reflexive Banach Spaces ◽

Adaptive Technique ◽

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Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities

Nonlinear Analysis ◽

10.1016/j.na.2010.06.007 ◽

2010 ◽

Vol 73 (7) ◽

pp. 2271-2282 ◽

Author(s):

Nguyen Mau Nam

Keyword(s):

Variational Inequalities ◽

Normal Cone ◽

Lipschitzian Stability

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Modified Extragradient Methods for a System of Variational Inequalities in Banach Spaces

Acta Applicandae Mathematicae ◽

10.1007/s10440-009-9502-9 ◽

2009 ◽

Vol 110 (3) ◽

pp. 1211-1224 ◽

Author(s):

Yonghong Yao ◽

Muhammad Aslam Noor ◽

Khalida Inayat Noor ◽

Yeong-Cheng Liou ◽

Huma Yaqoob

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Extragradient Methods ◽

System Of Variational Inequalities

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Lipschitzian stability of parametric variational inequalities over perturbed polyhedral convex sets

Optimization Letters ◽

10.1007/s11590-011-0299-x ◽

2011 ◽

Vol 6 (4) ◽

pp. 749-762 ◽

Author(s):

Nguyen Thi Quynh Trang

Keyword(s):

Variational Inequalities ◽

Convex Sets ◽

Polyhedral Convex ◽

Polyhedral Convex Sets ◽

Lipschitzian Stability

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STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES

Korean Journal of Mathematics ◽

10.11568/kjm.2012.20.2.225 ◽

2012 ◽

Vol 20 (2) ◽

pp. 225-237

Author(s):

Jae Ug Jeong

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Strong Convergence ◽

Banach Spaces ◽

Iterative Algorithm ◽

Fixed Point Problems ◽

Uniformly Smooth ◽

Systems Of Variational Inequalities ◽

Uniformly Smooth Banach Spaces

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Application of penalty methods to generalized variational inequalities in Banach spaces

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.010.10.17 ◽

2017 ◽

Vol 10 (10) ◽

pp. 5311-5320

Author(s):

G. W. Su ◽

Z. W. Zhao

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Penalty Methods ◽

Generalized Variational Inequalities

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Steepest-descent proximal point algorithms for a class of variational inequalities in Banach spaces

Mathematische Nachrichten ◽

10.1002/mana.201600240 ◽

2018 ◽

Vol 291 (8-9) ◽

pp. 1191-1207 ◽

Author(s):

Nguyen Buong

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Steepest Descent ◽

Proximal Point ◽

Proximal Point Algorithms

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