Hahn-Banach-type theorems and subdifferentials for invariant and equivariant order continuous vector lattice-valued operators with applications to optimization

DOI10.2478/tmmp-2021-0010zbMath1491.46074OpenAlexW3210160837WikidataQ113704293 ScholiaQ113704293MaRDI QIDQ2067287

Antonio Boccuto

Publication date: 18 January 2022

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

Full work available at URL: https://doi.org/10.2478/tmmp-2021-0010

zbMATH Keywords

Hahn-Banach theoremamenabilityoptimality conditionsubgradientsandwich theoremvector latticeKuhn-Tucker theoremFenchel duality theoremorder continuous functionalFarkas theoremMoreau-Rockafellar formulaorder bounded functionalsubdifferential of composite functions

Mathematics Subject Classification ID

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) Optimality conditions for problems in abstract spaces (49K27) Set functions, measures and integrals with values in ordered spaces (28B15)

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