∊-Variational inequalities in partially ordered spaces

DOI10.1080/02331939608844170zbMath0869.90061OpenAlexW2007785725MaRDI QIDQ4893703

E.-Ch. Henkel, Christiane Tammer

Publication date: 18 September 1996

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939608844170

zbMATH Keywords

vector optimizationapproximation problemsvector variational principlepartially ordered linear topological spaceapproximately efficient elements

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational inequalities (49J40) Programming in abstract spaces (90C48)

Related Items (7)

OPTIMALITY CONDITIONS AND APPROXIMATE OPTIMALITY CONDITIONS IN LOCALLY LIPSCHITZ VECTOR OPTIMIZATION ⋮ Existence and duality of generalized \(\epsilon\)-vector equilibrium problems ⋮ Duality and gap function for generalized multivalued ϵ-vector variational inequality ⋮ εVariational inequalities for vector approximation problems ⋮ Well posedness in vector optimization problems and vector variational inequalities ⋮ Duality in \(\varepsilon \)-variational inequality problems ⋮ Well-posed vector optimization problems and vector variational inequalities

Cites Work

• Nonconvex separation theorems and some applications in vector optimization
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• Geometrical properties of the Fermat-Weber problem
• On two generalizations of Pareto minimality
• Kolmogorov-conditions for vectorial approximation problems
• On several concepts for \(\varepsilon\)-efficiency
• Approximation of solutions for location problems
• On the variational principle
• A vector variational inequality and optimization over an efficient set
• Continuity and Differentiability Properties of Convex Operators
• Duality for Multiple Objective Convex Programs
• Vector variational inequality and its duality
• A generalization of ekellandz’s variational principle
• A nonconvex vector minimization problem
• A note on Fermat's problem
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