Steepest descent methods for multicriteria optimization

J&#x000F6;rg Fliege; Benar Fux Svaiter

doi:10.1007/s001860000043

Steepest descent methods for multicriteria optimization

Mathematical Methods of Operations Research ◽

10.1007/s001860000043 ◽

2000 ◽

Vol 51 (3) ◽

pp. 479-494 ◽

Cited By ~ 218

Author(s):

Jörg Fliege ◽

Benar Fux Svaiter

Keyword(s):

Multicriteria Optimization ◽

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 ◽

Cited By ~ 182

Author(s):

H. K. Xu ◽

T. H. Kim

Keyword(s):

Variational Inequalities ◽

Steepest Descent ◽

Descent Methods

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On the n-Variable Saddle Point and Steepest Descent Methods

Asymptotic and Computational Analysis ◽

10.1201/9781003072584-33 ◽

2020 ◽

pp. 627-637

Author(s):

D. Kaminski

Keyword(s):

Saddle Point ◽

Steepest Descent ◽

Descent Methods

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An Application of Hybrid Steepest Descent Methods for Equilibrium Problems and Strict Pseudocontractions in Hilbert Spaces

Journal of Inequalities and Applications ◽

10.1155/2011/173430 ◽

2011 ◽

Vol 2011 (1) ◽

pp. 173430 ◽

Cited By ~ 1

Author(s):

Ming Tian

Keyword(s):

Hilbert Spaces ◽

Equilibrium Problems ◽

Steepest Descent ◽

Descent Methods

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Iteration Steepest Descent Methods for Nonlinear Operator Equations

Regularization of Ill-Posed Problems by Iteration Methods ◽

10.1007/978-94-015-9482-0_5 ◽

2000 ◽

pp. 141-170

Author(s):

S. F. Gilyazov ◽

N. L. Gol’dman

Keyword(s):

Nonlinear Operator ◽

Steepest Descent ◽

Descent Methods ◽

Operator Equations ◽

Nonlinear Operator Equations

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Iteration Steepest Descent Methods for Linear Operator Equations

Regularization of Ill-Posed Problems by Iteration Methods ◽

10.1007/978-94-015-9482-0_3 ◽

2000 ◽

pp. 41-95

Author(s):

S. F. Gilyazov ◽

N. L. Gol’dman

Keyword(s):

Linear Operator ◽

Steepest Descent ◽

Descent Methods ◽

Operator Equations ◽

Linear Operator Equations

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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 ◽

Cited By ~ 7

Author(s):

Shahram Saeidi

Keyword(s):

Variational Inequalities ◽

Fixed Points ◽

Steepest Descent ◽

Descent Methods

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The self regulation problem as an inexact steepest descent method for multicriteria optimization

European Journal of Operational Research ◽

10.1016/j.ejor.2014.01.002 ◽

2014 ◽

Vol 235 (3) ◽

pp. 494-502 ◽

Cited By ~ 4

Author(s):

G.C. Bento ◽

J.X. Cruz Neto ◽

P.R. Oliveira ◽

A. Soubeyran

Keyword(s):

Multicriteria Optimization ◽

Self Regulation ◽

Descent Method ◽

Steepest Descent ◽

The Self ◽

Steepest Descent Method

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Unconstrained Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9984-2 ◽

2012 ◽

Vol 154 (1) ◽

pp. 88-107 ◽

Cited By ~ 28

Author(s):

G. C. Bento ◽

O. P. Ferreira ◽

P. R. Oliveira

Keyword(s):

Riemannian Manifolds ◽

Multicriteria Optimization ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method

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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 ◽

Cited By ~ 1

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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