A Hausdorff-type distance, the Clarke generalized directional derivative and applications in set optimization problems

DOI10.1080/00036811.2020.1778673zbMath1486.49024OpenAlexW3034363439MaRDI QIDQ5071295

Yu Han

Publication date: 21 April 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1778673

zbMATH Keywords

set optimization problemClarke generalized directional derivativenonlinear scalarizing functionHausdorff-type distance

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Set-valued and variational analysis (49J53) Extreme-point and pivoting methods (90C49)

Related Items (4)

A set scalarization function and Dini directional derivatives with applications in set optimization problems ⋮ Weak Henig proper solution sets for set optimization problems ⋮ Some characterizations of a nonlinear scalarizing function via oriented distance function ⋮ Connectedness of the approximate solution sets for set optimization problems

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