A series of convex functions on a Banach space

DOI10.1007/BF02563886zbMath0903.49012MaRDI QIDQ4391497

Xi Yin Zheng

Publication date: 6 January 1999

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

lower semicontinuous functionsconvex functionsconvex subdifferentialconvex optimization problemsKuhn-Tucker theoremMoreau-Rockafellar theorem

Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

Hiriart-Urruty-Phelps-like formula for the subdifferential of integral sums ⋮ On the entropy minimization problem in statistical mechanics ⋮ Duality for Optimization Problems with Infinite Sums

Cites Work

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• Convex functions, monotone operators and differentiability
• On the relations between two types of convergence for convex functions
• Mosco convergence in locally convex spaces
• On Mosco convergence of convex sets
• The Cosmic Hausdorff Topology, the Bounded Hausdorff Topology and Continuity of Polarity
• The slice topology: a viable alternative to mosco convergence in nonreflexive spaces
• On the convergence of subdifferentials of convex functions
• Set Convergences. An Attempt of Classification
• Mosco Convergence and Reflexivity
• Convergence of Sequences of Convex Sets, Cones and Functions. II
• Convex Analysis
• Set-valued analysis

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