Set Approach for Set Optimization with Variable Ordering Structures Part I: Set Relations and Relationship to Vector Approach

Gabriele Eichfelder; Maria Pilecka

doi:10.1007/s10957-016-0992-0

Set Approach for Set Optimization with Variable Ordering Structures Part I: Set Relations and Relationship to Vector Approach

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0992-0 ◽

2016 ◽

Vol 171 (3) ◽

pp. 931-946 ◽

Cited By ~ 7

Author(s):

Gabriele Eichfelder ◽

Maria Pilecka

Keyword(s):

Set Optimization ◽

Variable Ordering ◽

Variable Ordering Structures ◽

Set Relations ◽

Vector Approach

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Two Set Scalarizations Based on the Oriented Distance with Variable Ordering Structures: Properties and Application to Set Optimization

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2021.1959345 ◽

2021 ◽

pp. 1-26

Author(s):

B. Jiménez ◽

V. Novo ◽

A. Vílchez

Keyword(s):

Set Optimization ◽

Variable Ordering ◽

Oriented Distance ◽

Variable Ordering Structures

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Set Approach for Set Optimization with Variable Ordering Structures Part II: Scalarization Approaches

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0993-z ◽

2016 ◽

Vol 171 (3) ◽

pp. 947-963 ◽

Cited By ~ 8

Author(s):

Gabriele Eichfelder ◽

Maria Pilecka

Keyword(s):

Set Optimization ◽

Variable Ordering ◽

Variable Ordering Structures

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Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures

Optimization ◽

10.1080/02331934.2020.1857753 ◽

2020 ◽

pp. 1-25

Author(s):

Chunhai Hu ◽

Jiangxing Zhu

Keyword(s):

Vector Optimization ◽

Lagrange Multiplier ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Pareto Solutions ◽

Multiplier Rules ◽

Variable Ordering ◽

Variable Ordering Structures

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Efficiencies and Optimality Conditions in Vector Optimization with Variable Ordering Structures Marius Durea

Variational Analysis and Set Optimization ◽

10.1201/b22166-8 ◽

2019 ◽

pp. 158-209

Author(s):

Marius Durea ◽

Elena-Andreea Florea ◽

Radu Strugariu

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Variable Ordering ◽

Variable Ordering Structures

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Properly optimal elements in vector optimization with variable ordering structures

Journal of Global Optimization ◽

10.1007/s10898-013-0132-4 ◽

2013 ◽

Vol 60 (4) ◽

pp. 689-712 ◽

Cited By ~ 19

Author(s):

Gabriele Eichfelder ◽

Refail Kasimbeyli

Keyword(s):

Vector Optimization ◽

Variable Ordering ◽

Variable Ordering Structures

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Necessary Nondomination Conditions in Set and Vector Optimization with Variable Ordering Structures

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0332-6 ◽

2013 ◽

Vol 162 (2) ◽

pp. 350-370 ◽

Cited By ~ 13

Author(s):

Truong Q. Bao ◽

Boris S. Mordukhovich

Keyword(s):

Vector Optimization ◽

Variable Ordering ◽

Variable Ordering Structures

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Optimality conditions for vector optimization problems with variable ordering structures

Optimization ◽

10.1080/02331934.2011.575939 ◽

2013 ◽

Vol 62 (5) ◽

pp. 597-627 ◽

Cited By ~ 35

Author(s):

Gabriele Eichfelder ◽

Truong Xuan Duc Ha

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Variable Ordering ◽

Variable Ordering Structures

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A coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structures

Operations Research Letters ◽

10.1016/j.orl.2016.12.009 ◽

2017 ◽

Vol 45 (1) ◽

pp. 93-97 ◽

Cited By ~ 5

Author(s):

A. Sayadi-bander ◽

R. Kasimbeyli ◽

L. Pourkarimi

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems ◽

Variable Ordering ◽

Variable Ordering Structures

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Numerical Procedures in Multiobjective Optimization with Variable Ordering Structures

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0267-y ◽

2013 ◽

Vol 162 (2) ◽

pp. 489-514 ◽

Cited By ~ 23

Author(s):

Gabriele Eichfelder

Keyword(s):

Multiobjective Optimization ◽

Variable Ordering ◽

Variable Ordering Structures

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Extremal Systems for Sets and Multifunctions in Multiobjective Optimization with Variable Ordering Structures

Vietnam Journal of Mathematics ◽

10.1007/s10013-014-0099-6 ◽

2014 ◽

Vol 42 (4) ◽

pp. 579-593 ◽

Cited By ~ 1

Author(s):

Truong Q. Bao

Keyword(s):

Multiobjective Optimization ◽

Variable Ordering ◽

Variable Ordering Structures ◽

Extremal Systems

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