The Joly topology and the Mosco-Beer topology revisited
DOI10.1017/S000497270001580XzbMath0822.46084OpenAlexW1978563809MaRDI QIDQ4283027
Dominique Azé, Jean-Paul Penot
Publication date: 26 September 1995
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s000497270001580x
Legendre-Fenchel transformJoly topologyMosco-Beer topologyspace of closed proper convex functions defined on the dual of a normed vector
Hyperspaces in general topology (54B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)
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Cites Work
- On convergence of convex sets and relative Chebyshev centers
- Three characterizations of the Mosco topology for convex functions
- Convergence of convex sets and of solutions of variational inequalities
- On the continuity of the Young-Fenchel transform
- On the Young-Fenchel Transform for Convex Functions
- The Cosmic Hausdorff Topology, the Bounded Hausdorff Topology and Continuity of Polarity
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- Mosco Convergence and Reflexivity
- Conjugate Convex Functions and the Epi-Distance Topology
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- Convergence of sequences of convex sets, cones and functions
