Ewa M. Bednarczuk, Monika Syga
Published 2016-01-10Version 1
We prove minimax theorems for lower semicontinuous functions defined on a Hilbert space. The main tool is the theory of $\Phi$-convex functions and sufficient and necessary conditions for the minimax equality to hold for $\Phi$-convex functions. These conditions are expressed in terms of abstract $\Phi$-subgradients.
On the Set of Possible Minimizers of a Sum of Convex Functions
Minimax theorems for convex functions
Characterisation of zero duality gap for optimization problems in spaces without linear structure
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