Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity

C. P. Liu; Heung Wing Joseph Lee; X. M. Yang

doi:10.1007/s11590-011-0352-9

Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity

C. P. Liu, Heung Wing Joseph Lee, X. M. Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

In this paper a new class of generalized vector-valued arcwise connected functions, termed sub-arcwise connected functions, is introduced. The properties of sub-arcwise connected functions are derived. The approximate quasi efficient solutions of vector optimization problems are studied, and the necessary and sufficient optimality conditions are obtained under the assumption of arcwise connectivity. An approximate Mond-Weir type dual problem is formulated and the duality theorems are established.

Original language	English
Pages (from-to)	1613-1626
Number of pages	14
Journal	Optimization Letters
Volume	6
Issue number	8
DOIs	https://doi.org/10.1007/s11590-011-0352-9
Publication status	Published - 1 Nov 2012

Keywords

Approximate duality
Approximate solutions
Arcwise connected functions
Optimality conditions

ASJC Scopus subject areas

Control and Optimization

More information

10.1007/s11590-011-0352-9

Cite this

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abstract = "In this paper a new class of generalized vector-valued arcwise connected functions, termed sub-arcwise connected functions, is introduced. The properties of sub-arcwise connected functions are derived. The approximate quasi efficient solutions of vector optimization problems are studied, and the necessary and sufficient optimality conditions are obtained under the assumption of arcwise connectivity. An approximate Mond-Weir type dual problem is formulated and the duality theorems are established.",

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AU - Lee, Heung Wing Joseph

AU - Yang, X. M.

PY - 2012/11/1

Y1 - 2012/11/1

N2 - In this paper a new class of generalized vector-valued arcwise connected functions, termed sub-arcwise connected functions, is introduced. The properties of sub-arcwise connected functions are derived. The approximate quasi efficient solutions of vector optimization problems are studied, and the necessary and sufficient optimality conditions are obtained under the assumption of arcwise connectivity. An approximate Mond-Weir type dual problem is formulated and the duality theorems are established.

AB - In this paper a new class of generalized vector-valued arcwise connected functions, termed sub-arcwise connected functions, is introduced. The properties of sub-arcwise connected functions are derived. The approximate quasi efficient solutions of vector optimization problems are studied, and the necessary and sufficient optimality conditions are obtained under the assumption of arcwise connectivity. An approximate Mond-Weir type dual problem is formulated and the duality theorems are established.

KW - Approximate duality

KW - Approximate solutions

KW - Arcwise connected functions

KW - Optimality conditions

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DO - 10.1007/s11590-011-0352-9

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JO - Optimization Letters

JF - Optimization Letters

IS - 8

ER -

Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity

Abstract

Keywords

ASJC Scopus subject areas

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