On the Arg Min Multifunction for Lower Semicontinuous Functions

DOI10.2307/2046040zbMath0731.49009OpenAlexW4256427884MaRDI QIDQ3356963

Kenderov, Petar S., Gerald A. Beer

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046040

zbMATH Keywords

lower semicontinuous functionsHausdorff space

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (8)

On the Fell topology ⋮ Continuous Nash equilibria ⋮ Epigraphical analysis ⋮ Distance functionals and suprema of hyperspace topologies ⋮ Fell topology on the space of functions with closed graph ⋮ Complete metrizability of generalized compact-open topology ⋮ Convergence of fuzzy sets with respect to the supremum metric ⋮ Epi-topology on spaces of lower semicontinuous functions into partially ordered spaces and hyperspaces

Cites Work

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• Topological problems associated with \(\Gamma\)-convergence
• A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
• Characterizations of Some Variational Perturbations of the Abstract Linear-Quadratic Problem
• Convergence of Functions: Equi-Semicontinuity
• Convergence of Closed Subsets in a Topological Space
• Convergence of Sequences of Convex Sets, Cones and Functions. II

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