Some applications of open-decomposition pairs in convex analysis

DOI10.1007/BF00968058zbMath0494.46013MaRDI QIDQ1169129

Anatoly G. Kusraev

Publication date: 1982

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

convex conesublinear operatorsubdifferential calculusconvex extreme problemsinterior point conditionnonoblated pairopen mapping theorem for convex relationsopen-decomposition pairs

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Derivatives of functions in infinite-dimensional spaces (46G05) Nonlinear operators and their properties (47H99)

Cites Work

• Hypercomplete linear topological spaces
• The saddle point theorem of Kuhn and Tucker in ordered vector spaces
• Continuity in ordered spaces
• Ordered linear spaces
• Théorie des bornologies et applications. (Theory of bornologies and applications)
• Completeness and the open mapping theorem
• Regularity and Stability for Convex Multivalued Functions
• Convex Analysis
• Endomorphisms of a Partially Ordered Vector Space Without Order Unit
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