Abstract
In this work, we use a notion of approximation derived from Jourani and Thibault [13] to ascertain optimality conditions analogous to those that established but applicable to larger class of vector valued objective mappings and constraint set-valued mappings. To this end, we introduce an appropriate regularity condition to help us discern the Karush-Kuhn-Tucker multipliers.
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Amahroq, T., Gadhi, N. On the Regularity Condition for Vector Programming Problems. Journal of Global Optimization 21, 433–441 (2001). https://doi.org/10.1023/A:1012748412618
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DOI: https://doi.org/10.1023/A:1012748412618