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 ◽

Download Full-text

Duality and saddle-points for convex-like vector optimization problems on real linear spaces

Top ◽

10.1007/bf02579060 ◽

2005 ◽

Vol 13 (2) ◽

pp. 343-357 ◽

Author(s):

Miguel Adán ◽

Vicente Novo

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Saddle Points ◽

Vector Optimization Problems ◽

Linear Spaces ◽

Download Full-text

$$\epsilon $$ -Optimality conditions of vector optimization problems with set-valued maps based on the algebraic interior in real linear spaces

Optimization Letters ◽

10.1007/s11590-013-0620-y ◽

2013 ◽

Vol 8 (3) ◽

pp. 1047-1061 ◽

Author(s):

Zhi-Ang Zhou ◽

Xin-Min Yang ◽

Jian-Wen Peng

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Linear Spaces ◽

Algebraic Interior ◽

Download Full-text

Optimality Conditions for Vector Optimization Problems with Generalized Convexity in Real Linear Spaces

Optimization ◽

10.1080/02331930211988 ◽

2002 ◽

Vol 51 (1) ◽

pp. 73-91 ◽

Author(s):

M. Adán ◽

V. Novo

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Generalized Convexity ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Linear Spaces ◽

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text