Conically bounded sets and optimization

DOI10.1007/BF01277067zbMath0666.46008OpenAlexW2092533278MaRDI QIDQ1116404

S. H. Smith

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01277067

zbMATH Keywords

nuclear conesconically bounded set in locally convex spacesconically compact setsglobal minimisation of a nonlinear functional defined on a convex coneglobal optimisation on convex cone

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (2)

New existence results for efficient points in locally convex spaces ordered by supernormal cones ⋮ Geometry of cones and an application in the theory of Pareto efficient points

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complementarity problem and the existence of the post-critical equilibrium state of a thin elastic plate
• Supernormal cones and fixed point theory
• On Banach spaces whose dual balls are not weak\(^*\) sequentially compact
• Conically bounded sets in Banach spaces
• On transfinite iterations of the weak linear closure of convex sets in linear spaces. Part A. Two notions of linear closure
• Iteration of the "lin" operation for convex sets
• Simplexes and Vector Lattices
• A Conical Algorithm for Globally Minimizing a Concave Function Over a Closed Convex Set
• π-asymptotisches Spektrum und Surjektivitätssätze vom Fredholm Typ für nichtlineare Operatoren mit Anwendungen
• The Fixed Point Property and Unbounded Sets in Hilbert Space
• Sur le minimum des fonctionnelles dans les espaces de Banach
• Weak continuity and compactness of nonlinear mappings
• Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces

This page was built for publication: Conically bounded sets and optimization