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Paper   IPM / M / 17154
School of Mathematics
  Title:   Strict weak L-efficient solutions for nonconvex set optimization problems
  Author(s):  Hamid Reza Hajisharifi (Joint with M. Chinaie, F. Fakhar, and M. Fakhar)
  Status:   Published
  Journal: Optimization
  Year:  2023
  Pages:   DOI: 10.1080/02331934.2023.2170699
  Supported by:  IPM
In this article, we introduce the notions of l-transfer lower continuous and q-level intersectionally closed for set-valued mappings with respect to the lower set less relation. Then, we obtain some existence results for strict weak l-efficient solutions of such set-valued mappings. Moreover, we prove some existence results for nonconvex set optimization problems via asymptotic analysis tools, in the setting of the Banach spaces equipped with a Hausdorff topology �? coarser than the norm topology.

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