A second look at set convergence and linear analysis
DOI10.1007/BF02925299zbMath0681.46002MaRDI QIDQ4012788
Publication date: 27 September 1992
Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)
setsconvergencestrong convergenceWijsman convergenceKuratowski convergencenorm convergenceset convergencegraph convergenceAttouch-Wets convergencelevelweak* convergencebounded Hausdorff topologydistance functionalsMosco
Convergence and divergence of series and sequences of functions (40A30) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Duality theory for topological vector spaces (46A20) Duality and reflexivity in normed linear and Banach spaces (46B10)
Cites Work
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- Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
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- Metric spaces with nice closed balls and distance functions for closed sets
- On Mosco convergence of convex sets
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- Quantitative Stability of Variational Systems: I. The Epigraphical Distance
- The EPI-Distance Topology: Continuity and Stability Results with Applications to Convex Optimization Problems
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- Convex Optimization and the Epi-Distance Topology
- Conjugate Convex Functions and the Epi-Distance Topology
- Continuity of Some Convex-Cone-Valued Mappings
- Convergence of Sequences of Convex Sets, Cones and Functions. II
- Operations on convergent families of sets and functions
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