Mann-Type Steepest-Descent and Modified Hybrid Steepest-Descent Methods for Variational Inequalities in Banach Spaces

Numerical Functional Analysis and Optimization ◽

10.1080/01630560802418391 ◽

2008 ◽

Vol 29 (9-10) ◽

pp. 987-1033 ◽

Author(s):

Lu-Chuan Ceng ◽

Qamrul Hasan Ansari ◽

Jen-Chih Yao

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Steepest Descent ◽

Descent Methods

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Convergence of Hybrid Steepest-Descent Methods for Variational Inequalities

Journal of Optimization Theory and Applications ◽

10.1023/b:jota.0000005048.79379.b6 ◽

2003 ◽

Vol 119 (1) ◽

pp. 185-201 ◽

Author(s):

H. K. Xu ◽

T. H. Kim

Keyword(s):

Variational Inequalities ◽

Steepest Descent ◽

Descent Methods

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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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Modified hybrid steepest-descent methods for variational inequalities and fixed points

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2010.01.023 ◽

2010 ◽

Vol 52 (1-2) ◽

pp. 134-142 ◽

Author(s):

Shahram Saeidi

Keyword(s):

Variational Inequalities ◽

Fixed Points ◽

Steepest Descent ◽

Descent Methods

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A steepest-descent Krasnosel’skii–Mann algorithm for a class of variational inequalities in Banach spaces

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-016-0290-3 ◽

2016 ◽

Vol 18 (3) ◽

pp. 519-532 ◽

Author(s):

Nguyen Buong ◽

Vu Xuan Quynh ◽

Nguyen Thi Thu Thuy

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Steepest Descent ◽

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Hybrid Steepest-Descent Methods for Solving Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators

Fixed Point Theory and Applications ◽

10.1155/2010/673932 ◽

2010 ◽

Vol 2010 (1) ◽

pp. 673932

Author(s):

Songnian He ◽

Xiao-Lan Liang

Keyword(s):

Variational Inequalities ◽

Monotone Operators ◽

Steepest Descent ◽

Descent Methods ◽

Strongly Monotone ◽

Strongly Monotone Operators

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Hybrid steepest-descent methods for systems of variational inequalities with constraints of variational inclusions and convex minimization problems

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.010.03.03 ◽

2017 ◽

Vol 10 (03) ◽

pp. 874-901 ◽

Author(s):

Zhao-Rong Kong ◽

Lu-Chuan Ceng ◽

Yeong-Cheng Liou ◽

Ching-Feng Wen

Keyword(s):

Variational Inequalities ◽

Convex Minimization ◽

Steepest Descent ◽

Descent Methods ◽

Variational Inclusions ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Systems Of Variational Inequalities

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HYBRID STEEPEST-DESCENT METHODS FOR TRIPLE HIERARCHICAL VARIATIONAL INEQUALITIES

Taiwanese Journal of Mathematics ◽

10.11650/tjm.17.2013.2864 ◽

2013 ◽

Vol 17 (4) ◽

pp. 1441-1472 ◽

Author(s):

Lu-Chuan Ceng ◽

Ching-Feng Wen

Keyword(s):

Variational Inequalities ◽

Steepest Descent ◽

Descent Methods ◽

Triple Hierarchical Variational Inequalities ◽

Hierarchical Variational Inequalities

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On modified hybrid steepest-descent methods for general variational inequalities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.01.036 ◽

2007 ◽

Vol 334 (2) ◽

pp. 1276-1289 ◽

Author(s):

Yonghong Yao ◽

Muhammad Aslam Noor

Keyword(s):

Variational Inequalities ◽

Steepest Descent ◽

Descent Methods ◽

General Variational Inequalities

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Three-step relaxed hybrid steepest-descent methods for variational inequalities

Applied Mathematics and Mechanics ◽

10.1007/s10483-007-0805-x ◽

2007 ◽

Vol 28 (8) ◽

pp. 1029-1036 ◽

Author(s):

Xie-ping Ding ◽

Yen-cherng Lin ◽

Jen-chih Yao

Keyword(s):

Variational Inequalities ◽

Steepest Descent ◽

Descent Methods

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Finite-Step Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities

Journal of Inequalities and Applications ◽

10.1155/2008/598632 ◽

2008 ◽

Vol 2008 ◽

pp. 1-13 ◽

Author(s):

Yen-Cherng Lin

Keyword(s):

Variational Inequalities ◽

Steepest Descent ◽

Descent Methods ◽

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