Directional derivatives in set optimization with the set less order relation

DOI10.11650/tjm.19.2015.4940zbMath1357.49063OpenAlexW1594578623MaRDI QIDQ514880

Johannes Jahn

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.4940

zbMATH Keywords

optimality conditionsdirectional derivativesset optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items (15)

A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization ⋮ Optimality conditions for set-valued optimisation problems using a modified Demyanov difference ⋮ Karush-Kuhn-Tucker conditions in set optimization ⋮ Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets ⋮ Optimality conditions in set-valued optimization problem with respect to a partial order relation via directional derivative ⋮ Hard uncertainties in multiobjective layout optimization of photovoltaic power plants ⋮ Solving set optimization problems based on the concept of null set ⋮ Second-order optimality conditions for set optimization using coradiant sets ⋮ Set approach for set optimization with variable ordering structures. II: Scalarization approaches ⋮ Optimality conditions in set optimization employing higher-order radial derivatives ⋮ Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems ⋮ Six set scalarizations based on the oriented distance: properties and application to set optimization ⋮ On Lagrange Multiplier Rules for Set-Valued Optimization Problems in the Sense of Set Criterion ⋮ Characterizations of strictly convex sets by the uniqueness of support points ⋮ Optimality conditions in set-valued optimization problems with respect to a partial order relation by using subdifferentials

Cites Work

• Approximations of set-valued functions by metric linear operators
• The algebra of many-valued quantities
• Difference of compact sets in the sense of demyanov and its application to non-smooth analysis
• On cone convexity of set-valued maps
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