DC pole | Wartość | Język |
dc.contributor.author | Baron, Karol | - |
dc.date.accessioned | 2019-05-07T07:46:26Z | - |
dc.date.available | 2019-05-07T07:46:26Z | - |
dc.date.issued | 2019-04-05 | - |
dc.identifier.citation | Aequationes Mathematicae, 05 April 2019 | pl_PL |
dc.identifier.issn | 0001-9054 | - |
dc.identifier.issn | 1420-8903 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/9042 | - |
dc.description.abstract | Given a probability space (Ω,A, P), a complete and separable metric space X
with the σ-algebra B of all its Borel subsets, a B ⊗A-measurable and contractive in mean
f : X × Ω → X, and a Lipschitz F mapping X into a separable Banach space Y we
characterize the solvability of the equation
ϕ(x) =
Ω
ϕ (f(x, ω)) P(dω) + F(x)
in the class of Lipschitz functions ϕ : X → Y with the aid of the weak limit πf of the
sequence of iterates (fn(x, ·))n∈N of f, defined on X × ΩN by f0(x, ω) = x and fn(x, ω) =
f
fn−1(x, ω), ωn
for n ∈ N, and propose a characterization of πf for some special rvfunctions
in Hilbert spaces. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
dc.subject | Random-valued functions | pl_PL |
dc.subject | Iterates | pl_PL |
dc.subject | Weak limit | pl_PL |
dc.subject | Iterative equations | pl_PL |
dc.subject | Lipschitzian solutions | pl_PL |
dc.subject | Bochner integral | pl_PL |
dc.subject | Gaussian measures | pl_PL |
dc.title | Weak limit of iterates of some random-valued functions and its application | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.identifier.doi | 10.1007/s00010-019-00650-z | - |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
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