Equivalents of a general approximate variational principle for set-valued maps and application to efficiency

Equivalents of a general approximate variational principle for set-valued maps and application to efficiency

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Article ID: iaor20013573
Country: Germany
Volume: 51
Issue: 3
Start Page Number: 433
End Page Number: 442
Publication Date: Jan 2000
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors:
Abstract:

In this paper, three equivalents of a corollary of the general approximate variational principle for set-valued maps which we obtained earlier are derived. Applying a corollary of the general approximate variational principle, we obtain existence theorems for efficient solutions to vector optimization problems.

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