Hahn-Banach-Type Theorems and Subdifferentials for Invariant and Equivariant Order Continuous Vector Lattice-Valued Operators with Applications to Optimization

Published Online: Jan 01, 2022

Page range: 139 - 156

Received: Dec 01, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0010

Keywords

vector lattice, order bounded functional, order continuous functional, amenability, Hahn-Banach theorem, sandwich theorem, Fenchel duality theorem, subgradient, subdifferential of composite functions, optimality condition, Moreau-Rockafellar formula, Farkas theorem, Kuhn-Tucker theorem

© 2021 Mathematical Institute, Slovak Academy of Sciences

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