Hahn-Banach-Type Theorems and Subdifferentials for Invariant and Equivariant Order Continuous Vector Lattice-Valued Operators with Applications to Optimization
2021 ◽
Vol 78
(1)
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pp. 139-156
Keyword(s):
Abstract We give some versions of Hahn-Banach, sandwich, duality, Moreau--Rockafellar-type theorems, optimality conditions and a formula for the subdifferential of composite functions for order continuous vector lattice-valued operators, invariant or equivariant with respect to a fixed group G of homomorphisms. As applications to optimization problems with both convex and linear constraints, we present some Farkas and Kuhn-Tucker-type results.
Keyword(s):
2010 ◽
Vol 224
(10)
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pp. 2109-2119
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2015 ◽
Vol 36
(3)
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pp. 1299-1314
2011 ◽
Vol 213
(2)
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pp. 395-404
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1964 ◽
Vol 60
(2)
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pp. 205-207
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