Conjugate functions and subdifferentials in nonnormed situations for operators with complete graphs

DOI10.1016/0362-546X(88)90102-2zbMath0679.49016OpenAlexW2051830228MaRDI QIDQ4728895

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Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90102-2

zbMATH Keywords

subdifferentialconjugatelinear operator with complete graph

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Duality theory (optimization) (49N15) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (12)

Some formulae of convex and nonconvex duality ⋮ The occasional distributivity of ∘ over+e and the change of variable formula for conjugate functions ⋮ A note on subdifferentials of convex composite functionals ⋮ On subdifferential calculus for set-valued mappings and optimality conditions ⋮ Fenchel duality in infinite-dimensional setting and its applications. ⋮ Subdifferential calculus for set-valued mappings and optimality conditions for multiobjective optimization problems ⋮ A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces. ⋮ Duality and infinite dimensional optimization ⋮ Lower CS-closed sets and functions ⋮ Quadrivariate existence theorems and strong representability ⋮ Optimality conditions for vector optimization problems of a difference of convex mappings ⋮ On some open problems in convex analysis

Cites Work

• Functional analysis and partial differential equations. I
• Extension of Fenchel's duality theorem for convex functions
• On certain applications of the Hahn-Banach and minimax theorems
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