On two generalizations of Pareto minimality

DOI10.1007/BF00938314zbMath0628.90076OpenAlexW22455350MaRDI QIDQ1093550

T. Staib

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00938314

zbMATH Keywords

multiobjective programmingvector-valued mappingexistence conditionsPareto minimalitypartially ordered vector spacesapproximate minimalityinfimalitylinear and nonlinear scalarization

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Normed linear spaces and Banach spaces; Banach lattices (46B99) Programming in abstract spaces (90C48)

Related Items (14)

Stability results for approximately efficient solutions ⋮ On several concepts for \(\varepsilon\)-efficiency ⋮ Multiobjective search algorithm with subdivision technique ⋮ On approximate efficiency in multiobjective programming ⋮ On the equilibria of generalized dynamical systems ⋮ A generic approach to approximate efficiency and applications to vector optimization with set-valued maps ⋮ Limit sets in global multiobjective optimization ⋮ ∊-Variational inequalities in partially ordered spaces ⋮ Concepts for approximate solutions of vector optimization problems with variable order structures ⋮ Multiobjective bilevel optimization ⋮ εVariational inequalities for vector approximation problems ⋮ Convergence of minimal and approximate minimal elements of sets in partially ordered vector spaces ⋮ Methods for Multiobjective Bilevel Optimization ⋮ Approximations and well-posedness in multicriteria games

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\epsilon\)-solutions in vector minimization problems
• On duality theory in multiobjective programming
• Conjugate maps and duality in multiobjective optimization
• Continuity and Differentiability Properties of Convex Operators
• Existence Theorems for Pareto Optimization; Multivalued and Banach Space Valued Functionals
• On the Existence of Pareto Efficient Points

This page was built for publication: On two generalizations of Pareto minimality