Weierstrass theorem for monotonically semicontinuous functions

DOI10.1080/02331939408843949zbMath0817.49010OpenAlexW2028552391MaRDI QIDQ4764894

Dariusz Zagrodny, Lestaw Gajek

Publication date: 18 July 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939408843949

zbMATH Keywords

multiobjective optimizationPareto optimalitymaximal pointsWeierstrass theoremmonotone semicontinuity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

Related Items (4)

Exact and approximate vector Ekeland variational principles ⋮ A generalization of the Weierstrass theorem ⋮ Versions of the Weierstrass Theorem for Bifunctions and Solution Existence in Optimization ⋮ Vector variational principle

Cites Work

• Existence of maximal points with respect to ordered bipreference relations
• Continuity and differentiability properties of monotone real functions of several real variables
• Countably orderable sets and their applications in optimization

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