Existence of maximal points with respect to ordered bipreference relations

DOI10.1007/BF00940631zbMath0748.90061OpenAlexW2094448360MaRDI QIDQ1176846

Lestaw Gajek, Dariusz Zagrodny

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00940631

zbMATH Keywords

dualityapproximationscalarizationmaximality of a pointordered pair of preference relations

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Individual preferences (91B08)

Related Items (6)

Approximate necessary conditions for locally weak Pareto optimality ⋮ A generalization of the Weierstrass theorem ⋮ Determining functions by slopes ⋮ Existence Theorems for Maximal Elements in H-Spaces with Applications on the Minimax Inequalities and Equilibrium of Games ⋮ Vector variational principle ⋮ Weierstrass theorem for monotonically semicontinuous functions

Cites Work

• Unnamed Item
• An existence result for maximizations with respect to cones
• On the use of KKM multifunctions in fixed point theory and related topics
• Maximal points with respect to cone dominance in Banach spaces and their existence
• Analysis of multiobjective decision problems by the indifference band approach
• Existence theorems in vector optimization
• Parametric approximation problems arising in vector optimization
• Optimality conditions in nonconical multiple objective programming
• Maximal elements of acyclic relations on compact sets
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• Optimization and nontransitive preference-relations
• A Characterization of Properly Minimal Elements of a Set

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