Characterization of Approximate Solutions of Vector Optimization Problems with a Variable Order Structure

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0535-5 ◽

2014 ◽

Vol 162 (2) ◽

pp. 605-632 ◽

Author(s):

Behnam Soleimani

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems ◽

Order Structure ◽

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Concepts for Approximate Solutions of Vector Optimization Problems with Variable Order Structures

Vietnam Journal of Mathematics ◽

10.1007/s10013-014-0103-1 ◽

2014 ◽

Vol 42 (4) ◽

pp. 543-566 ◽

Author(s):

Behnam Soleimani ◽

Christiane Tammer

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems ◽

Variable Order ◽

Order Structures

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A new characterization of (weak) Pareto optimality for differentiable vector optimization problems with G-invex functions

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.01.034 ◽

2011 ◽

Vol 54 (1-2) ◽

pp. 59-68 ◽

Author(s):

Tadeusz Antczak

Keyword(s):

Vector Optimization ◽

Pareto Optimality ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Invex Functions ◽

Weak Pareto Optimality ◽

Differentiable Vector

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A Newton-Like Method for Variable Order Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1236-2 ◽

2018 ◽

Vol 177 (1) ◽

pp. 201-221 ◽

Author(s):

Glaydston de Carvalho Bento ◽

Gemayqzel Bouza Allende ◽

Yuri Rafael Leite Pereira

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

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Approximate solutions of vector optimization problems via improvement sets in real linear spaces

Journal of Global Optimization ◽

10.1007/s10898-017-0593-y ◽

2017 ◽

Vol 70 (4) ◽

pp. 875-901 ◽

Author(s):

C. Gutiérrez ◽

L. Huerga ◽

B. Jiménez ◽

V. Novo

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems ◽

Linear Spaces ◽

Improvement Sets ◽

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On Approximate Solutions in Vector Optimization Problems Via Scalarization

Computational Optimization and Applications ◽

10.1007/s10589-006-8718-0 ◽

2006 ◽

Vol 35 (3) ◽

pp. 305-324 ◽

Author(s):

César Gutiérrez ◽

Bienvenido Jiménez ◽

Vicente Novo

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems

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On approximate solutions of nondifferentiable vector optimization problems with cone-convex objectives

Optimization Letters ◽

10.1007/s11590-018-1292-4 ◽

2018 ◽

Vol 13 (4) ◽

pp. 891-906 ◽

Author(s):

Zhe Hong ◽

Guang-Ri Piao ◽

Do Sang Kim

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems

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Approximate solutions of vector optimization problems

Annual Review in Automatic Programming ◽

10.1016/0066-4138(85)90035-7 ◽

1985 ◽

Vol 12 ◽

pp. 246-250 ◽

Author(s):

István Vályi

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems

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On comparison of approximate solutions in vector optimization problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542506100083 ◽

2006 ◽

Vol 46 (10) ◽

pp. 1705-1716 ◽

Author(s):

Ya. I. Rabinovich

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems

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Existence and Optimality Conditions for Approximate Solutions to Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9891-6 ◽

2011 ◽

Vol 152 (1) ◽

pp. 97-120 ◽

Author(s):

Y. Gao ◽

S. H. Hou ◽

X. M. Yang

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Optimization Problems ◽

Approximate Solutions ◽

Vector Optimization Problems

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Characterization of vector strict global minimizers of order 2 in differentiable vector optimization problems under a new approximation method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.04.029 ◽

2011 ◽

Vol 235 (17) ◽

pp. 4991-5000 ◽

Author(s):

Tadeusz Antczak

Keyword(s):

Vector Optimization ◽

Approximation Method ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Global Minimizers ◽

Differentiable Vector

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