On random convex analysis

zbMath1396.46056arXiv1603.07074MaRDI QIDQ4644028

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Publication date: 30 May 2018

Full work available at URL: https://arxiv.org/abs/1603.07074

zbMATH Keywords

continuitylocally \(L^0\)-convex topologyFréchet-differentiabilitysubdifferentiabilityGâteaux-differentiability\(L^0\)-convex functionsrandom locally convex modules(\(\varepsilon, \lambda\))-topology

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Derivatives of functions in infinite-dimensional spaces (46G05) Topological linear spaces and related structures (46A99)

Related Items (9)

\(L^0\)-convex compactness and random normal structure in \(L^0(\mathcal{F}, B)\) ⋮ On \(L^0\)-convex compactness in random locally convex modules ⋮ Trotter–Kato approximations of semilinear stochastic evolution equations in Hilbert spaces ⋮ Unnamed Item ⋮ An exponential representation for random C₀–semigroups ⋮ Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations ⋮ The fundamental theorem of affine geometry in regular \(L^0\)-modules ⋮ L⁰-convex compactness and its applications to random convex optimization and random variational inequalities ⋮ Semigroups of continuous module homomorphisms on complex complete random normed modules

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