Pareto optimization in infinite dimensional spaces: The importance of nuclear cones
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Publication:1323887
DOI10.1006/jmaa.1994.1093zbMath0806.49010OpenAlexW2021766354MaRDI QIDQ1323887
Publication date: 16 February 1995
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1994.1093
Related Items (23)
Characterizations of some remarkable classes of cones ⋮ Nuclear cones in product spaces, pareto efficiency and Ekeland-type variational principles in locally convex spaces ⋮ The domination property for efficiency in locally convex spaces ⋮ On the equilibria of generalized dynamical systems ⋮ Positive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problems ⋮ Vectorial Ekeland variational principles and inclusion problems in cone quasi-uniform spaces ⋮ On Polar Cones and Differentiability in Reflexive Banach Spaces ⋮ On semicomplete cones ⋮ Normality and nuclearity of convex cones ⋮ Ekeland's principle and nuclear cones: a geometrical aspect ⋮ New existence results of solutions for vector optimization programs with multifunctions ⋮ Pareto optimization in topological vector spaces ⋮ Geometry of cones and an application in the theory of Pareto efficient points ⋮ Local completeness and Pareto optimization ⋮ Full nuclear cones and a relation between strong optimization and Pareto efficiency ⋮ Local completeness, Pareto efficiency and Mackey Bishop-Phelps cones ⋮ Existence and density results for proper efficiency in cone compact sets ⋮ Choquet boundaries and efficiency ⋮ Some more density results for proper efficiencies ⋮ Comparison of existence results for efficient points ⋮ The Fermat rule for multifunctions on Banach spaces ⋮ An extension to sets of supernormal cones and generalized subdifferential ⋮ Full nuclear cones associated to a normal cone. Application to Pareto efficiency.
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