Full nuclear cones associated to a normal cone. Application to Pareto efficiency.

DOI10.1016/S0893-9659(02)80017-9zbMath1088.90537MaRDI QIDQ1609527

A. O. Bahya, George Isac

Publication date: 15 August 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (7)

Nuclear and full nuclear cones in product spaces: Pareto efficiency and an Ekeland type variational principle ⋮ Nuclear cones in product spaces, pareto efficiency and Ekeland-type variational principles in locally convex spaces ⋮ On the equilibria of generalized dynamical systems ⋮ Full nuclear cones and a relation between strong optimization and Pareto efficiency ⋮ Local completeness, Pareto efficiency and Mackey Bishop-Phelps cones ⋮ Choquet boundaries and efficiency ⋮ Introducing Nonpolyhedral Cones to Multiobjective Programming

Cites Work

• A generalization of the Arrow-Barankin-Blackwell theorem in normed spaces
• Ekeland's principle and nuclear cones: a geometrical aspect
• Supernormal cones and fixed point theory
• On the existence of efficient points in locally convex spaces
• Pareto optimization in infinite dimensional spaces: The importance of nuclear cones
• Cones admitting strictly positive functionals and scalarization of some vector optimization problems
• Inclusion theorems for non-explosive and strongly exposed cones in normed spaces
• New existence results for efficient points in locally convex spaces ordered by supernormal cones
• On a Theorem of Arrow, Barankin, and Blackwell
• Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C¹-Optimization
• A note on a class of cones ensuring the existence of efficient points in bounded complete sets¹
• Properties of pareto sets in locally convex spaces
• Existence and density results for proper efficiency in cone compact sets
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