Abstract
A new notion of saddle point, namely proximal proper saddle point is introduced in terms of a Lagrangian map associated with a set-valued optimization problem for which an existence criterion is obtained. It is also observed that this saddle point is not related to some of the well-known saddle points. A saddle point type optimality criterion is derived for optimality in terms of proximal proper minimizers.
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Lalitha, C.S., Arora, R. (2011). Proximal Proper Saddle Points in Set-Valued Optimization. In: Mishra, S. (eds) Topics in Nonconvex Optimization. Springer Optimization and Its Applications(), vol 50. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9640-4_6
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DOI: https://doi.org/10.1007/978-1-4419-9640-4_6
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