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 |
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Pages (from-to) | 1613-1626 |
Number of pages | 14 |
Journal | Optimization Letters |
Volume | 6 |
Issue number | 8 |
DOIs | |
Publication status | Published - 1 Nov 2012 |
Keywords
- Approximate duality
- Approximate solutions
- Arcwise connected functions
- Optimality conditions
ASJC Scopus subject areas
- Control and Optimization