Notes about extended real- and set-valued functions

zbMath1244.49065arXiv1011.3179MaRDI QIDQ2903481

Carola Schrage, Andreas H. Hamel

Publication date: 10 August 2012

Full work available at URL: https://arxiv.org/abs/1011.3179

zbMATH Keywords

subdifferentialset-valued functiondirectional derivativeinfimal convolutionFenchel conjugateextended real-valued functionsconlinear space

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Set-valued maps in general topology (54C60) Duality theory (optimization) (49N15)

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Applying set optimization to weak efficiency ⋮ A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization ⋮ A Minty variational principle for set optimization ⋮ Minimax theorems for extended real-valued abstract convex-concave functions ⋮ Lagrange duality in set optimization ⋮ Set Optimization—A Rather Short Introduction ⋮ Set Optimization Meets Variational Inequalities ⋮ Set Relations via Families of Scalar Functions and Approximate Solutions in Set Optimization ⋮ Vectorization in set optimization

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