Image Space Analysis and Scalarization for ϵ‐Optimization of Multifunctions

Image Space Analysis and Scalarization for ϵ‐Optimization of Multifunctions

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Article ID: iaor20132828
Volume: 157
Issue: 3
Start Page Number: 685
End Page Number: 695
Publication Date: Jun 2013
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: vector optimization
Abstract:

Vector constrained problems for multifunctions are considered. Under an assumption based on generalized sections of the feasible set, some results in ϵ‐optimization are achieved. In particular, necessary and sufficient conditions for scalarization of ϵ‐optimization for multifunctions are deduced.

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