Convergence of minimal and approximate minimal elements of sets in partially ordered vector spaces

DOI10.1006/jmaa.1999.6579zbMath0997.90100OpenAlexW1971928711MaRDI QIDQ1819001

Pierre Loridan, Jacqueline Morgan, Roberto Raucci

Publication date: 27 January 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6579

zbMATH Keywords

minimal elementsapproximate minimal elements

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational inequalities (49J40) Normed linear spaces and Banach spaces; Banach lattices (46B99) Programming in abstract spaces (90C48) Methods involving semicontinuity and convergence; relaxation (49J45) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (6)

Convergence of solutions of a set optimization problem in the image space ⋮ Well-posedness and scalarization in vector optimization ⋮ Kalai-Smorodinsky bargaining solution equilibria ⋮ Lower convergence of approximate solutions to vector quasi-variational problems ⋮ A New Variant of Ekeland's Variational Principle for Set-Valued Maps ⋮ ε-Conjugate maps andε-conjugate duality in vector optimization with set-valued maps

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• Set-valued analysis

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