# A Steepest Descent Method for Set Optimization Problems with Set-Valued Mappings of Finite Cardinality

@article{Allende2021ASD, title={A Steepest Descent Method for Set Optimization Problems with Set-Valued Mappings of Finite Cardinality}, author={Gemayqzel Bouza Allende and Ernest Quintana and Christiane Tammer}, journal={J. Optim. Theory Appl.}, year={2021}, volume={190}, pages={711-743} }

In this paper, we study a first-order solution method for a particular class of set optimization problems where the solution concept is given by the set approach. We consider the case in which the set-valued objective mapping is identified by a finite number of continuously differentiable selections. The corresponding set optimization problem is then equivalent to find optimistic solutions to vector optimization problems under uncertainty with a finite uncertainty set. We develop optimality… Expand

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