Further arguments for slice convergence in nonreflexive spaces

DOI10.1007/BF01033070zbMath0822.46005OpenAlexW1994459721WikidataQ56935894 ScholiaQ56935894MaRDI QIDQ1344275

Jonathan M. Borwein, Jon Vanderwerff

Publication date: 9 February 1995

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01033070

zbMATH Keywords

Mosco convergenceWijsman convergenceset convergenceslice convergencegap convergences for nonconvex setsKadec-Klee norms

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (1)

Gap topologies in metric spaces

Cites Work

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• On the convergence of subdifferentials of convex functions
• Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces
• Wijsman convergence: A survey
• Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence
• Convergence of Lipschitz regularizations of convex functions
• Mosco and slice convergence of level sets and graphs of linear functionals
• Convergence of convex sets and of solutions of variational inequalities
• Mosco Convergence and the Kadec Property
• The slice topology: a viable alternative to mosco convergence in nonreflexive spaces
• On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability
• Wijsman convergence of convex sets under renorming
• Convergence of Sequences of Convex Sets, Cones and Functions. II

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