Local and Global Analysis of Multiplier Methods for Constrained Optimization in Banach Spaces

Eike Börgens; Christian Kanzow; Daniel Steck

doi:10.1137/19m1240186

Local and Global Analysis of Multiplier Methods for Constrained Optimization in Banach Spaces

SIAM Journal on Control and Optimization ◽

10.1137/19m1240186 ◽

2019 ◽

Vol 57 (6) ◽

pp. 3694-3722 ◽

Cited By ~ 2

Author(s):

Eike Börgens ◽

Christian Kanzow ◽

Daniel Steck

Keyword(s):

Constrained Optimization ◽

Banach Spaces ◽

Global Analysis ◽

Multiplier Methods ◽

Optimization In Banach Spaces

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Decomposability and dual optimization in Banach spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(81)90149-9 ◽

1981 ◽

Vol 84 (1) ◽

pp. 12-43

Author(s):

L Asimow ◽

A Simoson

Keyword(s):

Banach Spaces ◽

Optimization In Banach Spaces

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“Stochastic Nonsmooth Analysis And Optimization In Banach Spaces”

Lecture Notes in Economics and Mathematical Systems - Infinite Programming ◽

10.1007/978-3-642-46564-2_18 ◽

1985 ◽

pp. 226-242

Author(s):

Nikolaos S. Papageoraiou

Keyword(s):

Banach Spaces ◽

Nonsmooth Analysis ◽

Optimization In Banach Spaces

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Constrained optimization problems using multiplier methods

Journal of Optimization Theory and Applications ◽

10.1007/bf00932805 ◽

1972 ◽

Vol 9 (1) ◽

pp. 59-70 ◽

Cited By ~ 26

Author(s):

S. S. Tripathi ◽

K. S. Narendra

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Multiplier Methods ◽

Constrained Optimization Problems

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Duality in Vector Optimization in Banach Spaces with Generalized Convexity

Journal of Global Optimization ◽

10.1023/b:jogo.0000047911.03061.88 ◽

2004 ◽

Vol 29 (4) ◽

pp. 415-424 ◽

Cited By ~ 19

Author(s):

S.K. Mishra ◽

G. Giorgi ◽

S.Y. Wang

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Generalized Convexity ◽

Optimization In Banach Spaces

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Book Review: Convexity and optimization in Banach spaces

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1980-14776-x ◽

1980 ◽

Vol 2 (3) ◽

pp. 479-483

Author(s):

Leonard D. Berkovitz

Keyword(s):

Banach Spaces ◽

Optimization In Banach Spaces

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Constrained Optimization and Lagrange Multiplier Methods

10.1016/c2013-0-10366-2 ◽

1982 ◽

Cited By ~ 1

Keyword(s):

Constrained Optimization ◽

Lagrange Multiplier ◽

Multiplier Methods

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On a proximal point method for convex optimization in banach spaces

Numerical Functional Analysis and Optimization ◽

10.1080/01630569708816788 ◽

1997 ◽

Vol 18 (7-8) ◽

pp. 723-744 ◽

Cited By ~ 21

Author(s):

Dan Butnariu ◽

Alfredo N. Iusem

Keyword(s):

Convex Optimization ◽

Banach Spaces ◽

Point Method ◽

Proximal Point Method ◽

Proximal Point ◽

Optimization In Banach Spaces

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Diagonalized multiplier methods and quasi-Newton methods for constrained optimization

Journal of Optimization Theory and Applications ◽

10.1007/bf00933161 ◽

1977 ◽

Vol 22 (2) ◽

pp. 135-194 ◽

Cited By ~ 111

Author(s):

R. A. Tapia

Keyword(s):

Constrained Optimization ◽

Newton Methods ◽

Multiplier Methods ◽

Quasi Newton

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Hedging Interest Rate Risk by Optimization in Banach Spaces

Journal of Optimization Theory and Applications ◽

10.1007/s10957-006-9124-6 ◽

2007 ◽

Vol 132 (1) ◽

pp. 175-191 ◽

Cited By ~ 4

Author(s):

A. Balbás ◽

R. Romera

Keyword(s):

Interest Rate ◽

Banach Spaces ◽

Interest Rate Risk ◽

Rate Risk ◽

Optimization In Banach Spaces

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Sufficient condition for Pareto optimization in Banach spaces

Studia Mathematica ◽

10.4064/sm-77-2-111-114 ◽

1983 ◽

Vol 77 (2) ◽

pp. 111-114 ◽

Cited By ~ 1

Author(s):

S. Rolewicz

Keyword(s):

Banach Spaces ◽

Pareto Optimization ◽

Sufficient Condition ◽

Optimization In Banach Spaces

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