On optimization problems with set-valued objective maps

DOI10.1016/j.amc.2010.04.008zbMath1279.90155OpenAlexW2064932141MaRDI QIDQ603079

Takashi Maeda

Publication date: 5 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.008

zbMATH Keywords

convexityset-valued mapnon-dominated solutionPareto optimal solutionquasi orderingsemi-weak non-dominated solutionweak non-dominated solution

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (7)

On optimization problems with set-valued objective maps: existence and optimality ⋮ Variational inequalities characterizing weak minimality in set optimization ⋮ Optimality conditions in set optimization employing higher-order radial derivatives ⋮ A new nonlinear scalarization function and applications ⋮ Set Optimization—A Rather Short Introduction ⋮ A Survey of Set Optimization Problems with Set Solutions ⋮ On Characterization of Nash Equilibrium Strategy in Bi-Matrix Games with Set Payoffs

Cites Work

• On characterization of fuzzy vectors and its applications to fuzzy mathematical programming problems
• Existence and Lagrangian duality for maximization of set-valued functions
• Optimality conditions for set-valued optimization problems
• On set-valued optimization.
• Convexity for set-valued maps
• Lagrangian duality in set-valued optimization
• Set-relations and optimality conditions in set-valued maps
• \((\Lambda ,C)\)-contingent derivatives of set-valued maps
• Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
• Set-valued analysis

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