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

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

Tatra Mountains Mathematical Publications
Volume 78 (2021): Issue 1 (October 2021)
By: Antonio Boccuto  
Open Access
|Jan 2022
DOI: https://doi.org/10.2478/tmmp-2021-0010 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
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Language: English
Page range: 139 - 156
Submitted on: Dec 1, 2020
Published on: Jan 1, 2022
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
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
Related subjects:
Mathematics,
General mathematics

© 2022 Antonio Boccuto, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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