On convergence of convex sets and relative Chebyshev centers

DOI10.1016/0021-9045(90)90029-PzbMath0733.41030MaRDI QIDQ809292

Devidas Pai, Gerald A. Beer

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

farthest pointsrelative Chebyshev centerMosco topology

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (22)

Stability of the geometric Ekeland variational principle: Convex case ⋮ Wijsman convergence: A survey ⋮ Set convergences: A survey and a classification ⋮ On Hypertopologies ⋮ The Joly topology and the Mosco-Beer topology revisited ⋮ Wijsman convergence of convex sets under renorming ⋮ Almost Chebyshev set with respect to bounded subsets ⋮ Recent hypertopologies and continuity of the value function and of the constrained level sets ⋮ On stability of approximate solutions of minimization problems ⋮ The Wijsman and Attouch-Wets topologies on hyperspaces revisited ⋮ The slice topology: a viable alternative to mosco convergence in nonreflexive spaces ⋮ Topologies related to the prox map and the restricted center map ⋮ Set Convergences. An Attempt of Classification ⋮ On the convergence of subdifferentials of convex functions ⋮ A comparative study of various notions of approximation of sets ⋮ On generic well-posedness of restricted Chebyshev center problems in Banach spaces ⋮ A Characterization of Epi-Convergence in Terms of Convergence of Level Sets ⋮ Chebyshev centres, Jung constants, and their applications ⋮ Three characterizations of the Mosco topology for convex functions ⋮ The Prox map ⋮ Well-Posedness, Regularization, and Viscosity Solutions of Minimization Problems ⋮ On approximate minima of a convex functional and lower semicontinuity of metric projections

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