A Nonlinear Cone Separation Theorem and Scalarization in Nonconvex Vector Optimization

Refail Kasimbeyli

doi:10.1137/070694089

A Nonlinear Cone Separation Theorem and Scalarization in Nonconvex Vector Optimization

SIAM Journal on Optimization ◽

10.1137/070694089 ◽

2010 ◽

Vol 20 (3) ◽

pp. 1591-1619 ◽

Cited By ~ 52

Author(s):

Refail Kasimbeyli

Keyword(s):

Vector Optimization ◽

Separation Theorem ◽

Nonconvex Vector Optimization ◽

Cone Separation Theorem

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Characterization of the Benson Proper Efficiency and Scalarization in Nonconvex Vector Optimization

Lecture Notes in Economics and Mathematical Systems - Multiple Criteria Decision Making in the New Millennium ◽

10.1007/978-3-642-56680-6_17 ◽

2001 ◽

pp. 189-198 ◽

Cited By ~ 21

Author(s):

Rafail N. Gasimov

Keyword(s):

Vector Optimization ◽

Proper Efficiency ◽

Benson Proper Efficiency ◽

Nonconvex Vector Optimization

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Existence and characterization theorems in nonconvex vector optimization

Journal of Global Optimization ◽

10.1007/s10898-014-0234-7 ◽

2014 ◽

Vol 62 (1) ◽

pp. 155-165 ◽

Cited By ~ 4

Author(s):

Nergiz Kasimbeyli

Keyword(s):

Vector Optimization ◽

Characterization Theorems ◽

Nonconvex Vector Optimization

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A cone separation theorem

Journal of Optimization Theory and Applications ◽

10.1007/bf00934357 ◽

1982 ◽

Vol 36 (3) ◽

pp. 451-455 ◽

Cited By ~ 16

Author(s):

M. I. Henig

Keyword(s):

Separation Theorem ◽

Cone Separation Theorem

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Nonconvex vector optimization of set-valued mappings

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00410-9 ◽

2003 ◽

Vol 283 (2) ◽

pp. 337-350 ◽

Cited By ~ 29

Author(s):

S.J Li ◽

X.Q Yang ◽

G.Y Chen

Keyword(s):

Vector Optimization ◽

Set Valued Mappings ◽

Nonconvex Vector Optimization

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Higher-order sensitivity analysis in nonconvex vector optimization

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2010.6.381 ◽

2010 ◽

Vol 6 (2) ◽

pp. 381-392 ◽

Cited By ~ 1

Author(s):

Qilin Wang ◽

◽

S. J. Li ◽

Keyword(s):

Sensitivity Analysis ◽

Vector Optimization ◽

Higher Order ◽

Nonconvex Vector Optimization

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On the Existence of Weak Efficient Solutions of Nonconvex Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-020-01667-0 ◽

2020 ◽

Vol 185 (3) ◽

pp. 880-902

Author(s):

César Gutiérrez ◽

Rubén López

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Efficient Solutions ◽

Vector Optimization Problems ◽

Nonconvex Vector Optimization

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Radial Epiderivatives and Asymptotic Functions in Nonconvex Vector Optimization

SIAM Journal on Optimization ◽

10.1137/s1052623401392111 ◽

2003 ◽

Vol 14 (1) ◽

pp. 284-305 ◽

Cited By ~ 17

Author(s):

Fabián Flores-Bazán

Keyword(s):

Vector Optimization ◽

Asymptotic Functions ◽

Nonconvex Vector Optimization

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Characterizations of Hartley Proper Efficiency in Nonconvex Vector Optimization

Journal of Global Optimization ◽

10.1007/s10898-004-1935-0 ◽

2005 ◽

Vol 33 (2) ◽

pp. 273-298 ◽

Cited By ~ 5

Author(s):

Gue Myung Lee ◽

Do Sang Kim ◽

Pham Huu Sach

Keyword(s):

Vector Optimization ◽

Proper Efficiency ◽

Nonconvex Vector Optimization

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Proper or Weak Efficiency via Saddle Point Conditions in Cone-Constrained Nonconvex Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-019-01486-y ◽

2019 ◽

Vol 181 (3) ◽

pp. 787-816 ◽

Cited By ~ 2

Author(s):

Fabián Flores-Bazán ◽

Giandomenico Mastroeni ◽

Cristián Vera

Keyword(s):

Saddle Point ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Weak Efficiency ◽

Nonconvex Vector Optimization

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On Nondifferentiable and Nonconvex Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1023/a:1004697127040 ◽

2000 ◽

Vol 106 (3) ◽

pp. 475-488 ◽

Cited By ~ 47

Author(s):

Q. H. Ansari ◽

J> C> Yao

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Nonconvex Vector Optimization

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