On minimax theorems for lower semicontinuous functions in Hilbert spaces

2016/01/10 by Ewa M. Bednarczuk, Bednarczuk, Ewa M., Monika Syga +1 · 1 citation
Computer Science · Mathematics · #Optimization and Variational Analysis #Advanced Optimization Algorithms Research #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1601.02239

Abstract

We prove minimax theorems for lower semicontinuous functions defined on a Hilbert space. The main tool is the theory of Φ-convex functions and sufficient and necessary conditions for the minimax equality to hold for Φ-convex functions. These conditions are expressed in terms of abstract Φ-subgradients.

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