Extended \(B\)-well-Posedness and property (H) for set-valued vector optimization with convexity

DOI10.1007/s10957-007-9272-3zbMath1146.90061OpenAlexW2023045616MaRDI QIDQ2483043

Ya-Ping Fang, Rong Hu, Nan-Jing Huang

Publication date: 5 May 2008

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-007-9272-3

zbMATH Keywords

ConvexitySet-valued vector optimizationDomination propertyContainment propertyProperty (H)

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items

Well-posedness and scalarization in set optimization involving ordering cones with possibly empty interior, Generalized \(B\)-well-posedness for set optimization problems, Pointwise well-posedness and scalarization in set optimization, Scalarization and pointwise well-posedness for set optimization problems, Unnamed Item, Well-posedness for parametric optimization problems with variational inclusion constraint, Well-posedness in the generalized sense for variational inclusion and disclusion problems and well-posedness for optimization problems with constraint, Unnamed Item, Global Well-Posedness in Set Optimization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Well-posed optimization problems
• Well-posedness and scalarization in vector optimization
• Vector equilibrium problems with generalized monotone bifunctions
• Extended well-posedness of optimization problems
• Generalized semicontinuity and existence theorems for cone saddle points
• Extended and strongly extended well-posedness of set-valued optimization problems
• Extended well-posedness properties of vector optimization problems
• Continuity of minimal points with applications to parametric multiple objective optimization
• Well-posedness and convexity in vector optimization
• On variational principles, level sets, well-posedness, and \(\epsilon\)-solutions in vector optimization
• Multi-valued contraction mappings
• An Existence Theorem in Vector Optimization
• On well-posedness and conditioning in optimization
• Well-posedness criteria in optimization with application to the calculus of variations
• Set-valued analysis
• Pointwise well-posedness of perturbed vector optimization problems in a vector-valued variational principle
• Well-posedness and optimization under perturbations