Hahn-Banach and sandwich theorems for equivariant vector lattice-valued operators and applications

DOI10.2478/tmmp-2020-0015OpenAlexW3096064936MaRDI QIDQ2057284

Antonio Boccuto

Publication date: 6 December 2021

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmmp-2020-0015

zbMATH Keywords

Hahn-Banach theoremsubdifferentialamenabilitysubgradientsandwich theoremvector latticeKuhn-Tucker theoremFenchel duality theoremFarkas theoremMoreau-Rockafellar formula

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Means on groups, semigroups, etc.; amenable groups (43A07) Set functions, measures and integrals with values in ordered spaces (28B15)

Related Items

Hahn-Banach-type theorems and subdifferentials for invariant and equivariant order continuous vector lattice-valued operators with applications to optimization ⋮ Abstract integration with respect to measures and applications to modular convergence in vector lattice setting

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