A generalized scalarization method in set optimization with respect to variable domination structures
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Publication:684044
DOI10.1007/s10013-017-0263-xzbMath1411.90277OpenAlexW2770680463MaRDI QIDQ684044
Elisabeth Köbis, Thanh Tam Le, Christiane Tammer
Publication date: 9 February 2018
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-017-0263-x
Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Set-valued and variational analysis (49J53)
Related Items (11)
New concepts of directional derivatives for set-valued maps and applications to set optimization ⋮ A first bibliography on set and vector optimization problems with respect to variable domination structures ⋮ A Hausdorff-type distance, the Clarke generalized directional derivative and applications in set optimization problems ⋮ Characterizations of set relations with respect to variable domination structures via oriented distance function ⋮ Approximate elements for set optimization problems with respect to variable domination structures ⋮ Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures ⋮ Optimality and error bound for set optimization with application to uncertain multi-objective programming ⋮ Second-order optimality conditions for set optimization using coradiant sets ⋮ Two Set Scalarizations Based on the Oriented Distance with Variable Ordering Structures: Properties and Application to Set Optimization ⋮ Directional Pareto efficiency: concepts and optimality conditions ⋮ Well-posedness for set optimization problems involving set order relations
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