Lagrange Multiplier Rules for Weak Approximate Pareto Solutions of Constrained Vector Optimization Problems in Hilbert Spaces

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0259-3 ◽

2013 ◽

Vol 162 (2) ◽

pp. 665-679

Author(s):

Xi Yin Zheng ◽

Runxin Li

Keyword(s):

Vector Optimization ◽

Lagrange Multiplier ◽

Hilbert Spaces ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Pareto Solutions ◽

Multiplier Rules

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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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On the existence of Pareto solutions for polynomial vector optimization problems

Mathematical Programming ◽

10.1007/s10107-018-1271-7 ◽

2018 ◽

Vol 177 (1-2) ◽

pp. 321-341 ◽

Author(s):

Do Sang Kim ◽

Tiến-Sơn Phạm ◽

Nguyen Van Tuyen

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Polynomial Vector ◽

Pareto Solutions

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Pareto Solutions of Polyhedral-valued Vector Optimization Problems in Banach Spaces

Set-Valued and Variational Analysis ◽

10.1007/s11228-009-0120-5 ◽

2009 ◽

Vol 17 (4) ◽

pp. 389-408 ◽

Author(s):

Xi Yin Zheng

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Pareto Solutions

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Vector optimization problems with quasiconvex constraints

Journal of Global Optimization ◽

10.1007/s10898-008-9314-x ◽

2008 ◽

Vol 44 (1) ◽

pp. 111-130 ◽

Author(s):

Ivan Ginchev

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Quasiconvex Constraints

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A new approximation approach to optimality and duality for a class of nonconvex differentiable vector optimization problems

Computational Management Science ◽

10.1007/s10287-020-00379-0 ◽

2021 ◽

Author(s):

Tadeusz Antczak

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Approximation Approach ◽

Optimality And Duality ◽

Differentiable Vector

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An interactive approach to integer linear vector optimization problems using enumerative cuts

2007 IEEE Symposium on Computational Intelligence in Multi-Criteria Decision-Making ◽

10.1109/mcdm.2007.369444 ◽

2007 ◽

Author(s):

W. Habenicht

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Interactive Approach ◽

Linear Vector ◽

Linear Vector Optimization

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Exponential type vector variational-like inequalities and nonsmooth vector optimization problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-014-0828-8 ◽

2014 ◽

Vol 49 (1-2) ◽

pp. 127-143 ◽

Author(s):

Anurag Jayswal ◽

Sarita Choudhury

Keyword(s):

Vector Optimization ◽

Exponential Type ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Nonsmooth Vector Optimization

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Stochastic Method for the Solution of Unconstrained Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1023/a:1015472306888 ◽

2002 ◽

Vol 114 (1) ◽

pp. 209-222 ◽

Author(s):

S. Schäffler ◽

R. Schultz ◽

K. Weinzierl

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Stochastic Method ◽

Vector Optimization Problems

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KT-E-invexity in E-differentiable vector optimization problems

Journal of Physics Conference Series ◽

10.1088/1742-6596/1900/1/012001 ◽

2021 ◽

Vol 1900 (1) ◽

pp. 012001

Author(s):

Najeeb Abdulaleem

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Differentiable Vector

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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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