Well-posed optimization problems and a new topology for the closed subsets of a metric space
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Publication:1328233
DOI10.1216/rmjm/1181072488zbMath0812.54015OpenAlexW2068125070MaRDI QIDQ1328233
Roberto Lucchetti, Gerald A. Beer
Publication date: 4 July 1994
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181072488
Hyperspaces in general topology (54B20) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (11)
Wijsman convergence: A survey ⋮ A splitting property of the upper bounded-Hausdorff convergence ⋮ More on the behaviors of fixed points sets of multifunctions and applications ⋮ Well-set and well-posed minimization problems ⋮ Equivalence among hypertopologies ⋮ Properties related to first countability and countable compactness in hyperspaces: A new approach. ⋮ Topologies related to the prox map and the restricted center map ⋮ Bornological convergences on the hyperspace of a uniformizable space ⋮ Convergence of partial maps ⋮ Well-posedness by perturbations of variational problems ⋮ Convergence of epigraphs and of sublevel sets
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