On minimax theorems for lower semicontinuous functions in Hilbert spaces

zbMath1401.32010arXiv1601.02239MaRDI QIDQ4642611

Monika Syga, Ewa M. Bednarczuk

Publication date: 23 May 2018

Full work available at URL: https://arxiv.org/abs/1601.02239

zbMATH Keywords

convexityminimax theorems\(\Phi\)-convex functions

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35) Other notions of convexity in relation to several complex variables (32F17)

Related Items (4)

Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions ⋮ An extreme value theorem on closed convex subsets of \(L^p\) spaces and two applications ⋮ On Lagrange Duality for Several Classes of Nonconvex Optimization Problems ⋮ On the minimax theorem for the space of probability measures on metric spaces

Cites Work

• Nonsmooth analysis
• Prox-regular functions in Hilbert spaces
• Minimax theorems for Ф-convex functions: sufficient and necessary conditions
• On $\Phi $-Convexity in Extremal Problems
• On a globalization property
• Variational Analysis
• On generalized conjugations and subdifferentials in abstract convex analysis
• On the Subdifferentiability of Convex Functions
• Minimax Theorems
• Abstract convexity and global optimization
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