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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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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Some vector optimization problems in Banach spaces with generalized convexity

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.05.002 ◽

2007 ◽

Vol 54 (11-12) ◽

pp. 1403-1410 ◽

Author(s):

Guolin Yu ◽

Sanyang Liu

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Generalized Convexity ◽

Optimization Problems ◽

Vector Optimization Problems

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On quadratic scalarization of vector optimization problems in Banach spaces

Applicable Analysis ◽

10.1080/00036811.2013.809068 ◽

2013 ◽

Vol 93 (5) ◽

pp. 994-1009 ◽

Author(s):

Peter I. Kogut ◽

Rosanna Manzo

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems

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On Scalarization of a Class of Vector Optimization Problems in the Banach Spaces

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v40.i12.10 ◽

2008 ◽

Vol 40 (12) ◽

pp. 1-13

Author(s):

Igor V. Nechay ◽

Peter I. Kogut

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems

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Second‐Order Optimality Conditions for Scalar and Vector Optimization Problems in Banach Spaces

SIAM Journal on Control and Optimization ◽

10.1137/040612713 ◽

2006 ◽

Vol 45 (3) ◽

pp. 972-997 ◽

Author(s):

Helmut Gfrerer

Keyword(s):

Optimality Conditions ◽

Banach Spaces ◽

Vector Optimization ◽

Optimization Problems ◽

Second Order ◽

Vector Optimization Problems ◽

Second Order Optimality Conditions ◽

Scalar And Vector Optimization

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Characterizations of the Nonemptiness and Boundedness of Weakly Efficient Solution Sets of Convex Vector Optimization Problems in Real Reflexive Banach Spaces

Journal of Optimization Theory and Applications ◽

10.1007/s10957-008-9443-x ◽

2008 ◽

Vol 140 (1) ◽

pp. 1-7 ◽

Author(s):

S. Deng

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Efficient Solution ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Weakly Efficient Solution ◽

Reflexive Banach Spaces ◽

Solution Sets ◽

Convex Vector Optimization ◽

Nonemptiness And Boundedness

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Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems

Mathematical Programming ◽

10.1007/bf01581135 ◽

1994 ◽

Vol 66 (1-3) ◽

pp. 1-23 ◽

Author(s):

Abderrahim Jourani

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Nonsmooth Vector Optimization ◽

Qualification Conditions ◽

Multivalued Functions

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$B$-SEMIPREINVEX FUNCTIONS AND VECTOR OPTIMIZATION PROBLEMS IN BANACH SPACES

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500404746 ◽

2007 ◽

Vol 11 (3) ◽

pp. 595-609 ◽

Author(s):

Sheng-Lan Chen ◽

Nan-Jing Huang ◽

Mu-Ming Wong

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Semipreinvex Functions

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To the question of regularization of vector optimization problems

Researches in Mathematics ◽

10.15421/240812 ◽

2021 ◽

Vol 16 ◽

pp. 99

Author(s):

P.I. Kogut ◽

I.V. Nechai

Keyword(s):

Banach Spaces ◽

Vector Optimization ◽

Optimization Problems ◽

Lower Semicontinuous ◽

Sufficient Conditions ◽

Vector Optimization Problems ◽

Method Of Regularization ◽

We propose the method of regularization of one class of vector optimizations problems in Banach spaces, in case where vector-valued mapping is not lower semicontinuous in certain sense, which implies violation of sufficient conditions of solvability.

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