Upper-semi-continuity and cone-concavity of multi-valued vector functions in a duality theory for vector optimization
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Publication:1374687
DOI10.1007/BF01217689zbMath0889.90132OpenAlexW2094381538MaRDI QIDQ1374687
Publication date: 10 December 1997
Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01217689
dual problemmultifunctionconvexityrecession conesemi-continuityprimal problemcone-concavitycone-maximal solution
Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued maps in general topology (54C60) Programming in abstract spaces (90C48)
Related Items (2)
Cites Work
- Geometric consideration of duality in vector optimization
- Images of connected sets by semicontinuous multifunctions
- Existence and Lagrangian duality for maximization of set-valued functions
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- Duality in vector optimization
- Generalized equations and their solutions, Part I: Basic theory
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- Point-to-Set Maps in Mathematical Programming
- Optimality conditions for maximizations of set-valued functions
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