Characterizations of the $E$-Benson proper efficiency in vector optimization problems

A class of vector optimization problems is considered and a characterization ofE-Benson proper efficiency is obtained by using a nonlinear scalarization function proposed by Göpfert et al. Some examples are given to illustrate the main results.

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Proper efficiency for set-valued vector optimization problems and vector variational inequalitiesRID=""ID="" This research was partially supported by the National Natural Science Foundation of P.R. China and the Natural Science Foundation of Jiangxi Province, P.R. China.

Mathematical Methods of Operations Research ◽

10.1007/pl00003994 ◽

2000 ◽

Vol 51 (3) ◽

pp. 443-457 ◽

Cited By ~ 14

Author(s):

Wei Liu ◽

Xunhua Gong

Keyword(s):

Vector Optimization ◽

Natural Science ◽

Optimization Problems ◽

Proper Efficiency ◽

Vector Optimization Problems ◽

Jiangxi Province

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Proper Efficiency and Generalized Convexity in Nonsmooth Vector Optimization Problems

Lecture Notes in Economics and Mathematical Systems - Generalized Convexity and Generalized Monotonicity ◽

10.1007/978-3-642-56645-5_14 ◽

2001 ◽

pp. 208-217 ◽

Cited By ~ 3

Author(s):

Giorgio Giorgi ◽

Angelo Guerraggio

Keyword(s):

Vector Optimization ◽

Generalized Convexity ◽

Optimization Problems ◽

Proper Efficiency ◽

Vector Optimization Problems ◽

Nonsmooth Vector Optimization

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Isolated minimizers and proper efficiency for C0,1 constrained vector optimization problems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.01.041 ◽

2005 ◽

Vol 309 (1) ◽

pp. 353-368 ◽

Cited By ~ 19

Author(s):

Ivan Ginchev ◽

Angelo Guerraggio ◽

Matteo Rocca

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Proper Efficiency ◽

Vector Optimization Problems ◽

Isolated Minimizers

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New results on proper efficiency for a class of vector optimization problems

Applicable Analysis ◽

10.1080/00036811.2020.1712373 ◽

2020 ◽

pp. 1-13

Author(s):

N. T. T. Huong ◽

J.-C. Yao ◽

N. D. Yen

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Proper Efficiency ◽

Vector Optimization Problems

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Well-posedness and stability in vector optimization problems using Henig proper efficiency

Optimization ◽

10.1080/02331934.2011.587190 ◽

2013 ◽

Vol 62 (1) ◽

pp. 155-165 ◽

Cited By ~ 3

Author(s):

C.S. Lalitha ◽

Prashanto Chatterjee

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Proper Efficiency ◽

Vector Optimization Problems ◽

Well Posedness ◽

Henig Proper Efficiency

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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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 2

Author(s):

Anurag Jayswal ◽

Sarita Choudhury

Keyword(s):

Vector Optimization ◽

Exponential Type ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Nonsmooth Vector Optimization

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Characterizations of the $E$-Benson proper efficiency in vector optimization problems

A Characterization ofE-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization

Proper efficiency for set-valued vector optimization problems and vector variational inequalitiesRID="*"ID="*" This research was partially supported by the National Natural Science Foundation of P.R. China and the Natural Science Foundation of Jiangxi Province, P.R. China.

Proper Efficiency and Generalized Convexity in Nonsmooth Vector Optimization Problems

Isolated minimizers and proper efficiency for C0,1 constrained vector optimization problems

New results on proper efficiency for a class of vector optimization problems

Well-posedness and stability in vector optimization problems using Henig proper efficiency

Vector optimization problems with quasiconvex constraints

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

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

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

Proper efficiency for set-valued vector optimization problems and vector variational inequalitiesRID=""ID="" This research was partially supported by the National Natural Science Foundation of P.R. China and the Natural Science Foundation of Jiangxi Province, P.R. China.