Random coincidence degree theory with applications to random differential inclusions

Enayet U, Tarafdar; P. Watson; George Xian-Zhi Yuan

Displaying similar documents to “Random coincidence degree theory with applications to random differential inclusions”

Some results on $L Σ (κ)$ -spaces

Fidel Casarrubias Segura, Oleg Okunev, Paniagua C. G. Ramírez (2008)

Commentationes Mathematicae Universitatis Carolinae

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We present several results related to $L Σ (κ)$ -spaces where $κ$ is a finite cardinal or $ω$ ; we consider products and some constructions that lead from spaces of these classes to other spaces of similar classes.

On the cardinality and weight spectra of compact spaces, II

Istvan Juhász, Saharon Shelah (1998)

Fundamenta Mathematicae

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Let B(κ,λ) be the subalgebra of P(κ) generated by ${[κ]}^{\leq λ}$ . It is shown that if B is any homomorphic image of B(κ,λ) then either $| B | < 2^{λ}$ or $| B | = {| B |}^{λ}$ ; moreover, if X is the Stone space of B then either $| X | \leq 2^{2^{λ}}$ or $| X | = | B | = {| B |}^{λ}$ . This implies the existence of 0-dimensional compact $T_{2}$ spaces whose cardinality and weight spectra omit lots of singular cardinals of “small” cofinality.

On infinite composition of affine mappings

László Máté (1999)

Fundamenta Mathematicae

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Let $F_{i} = 1, . . ., N$ be affine mappings of $ℝ^{n}$ . It is well known that if there exists j ≤ 1 such that for every $σ_{1}, . . ., σ_{j} \in 1, . . ., N$ the composition (1) $F_{σ 1} \circ . . . \circ F_{σ_{j}}$ is a contraction, then for any infinite sequence $σ_{1}, σ_{2}, . . . \in 1, . . ., N$ and any $z \in ℝ^{n}$ , the sequence (2) $F_{σ 1} \circ . . . \circ F_{σ_{n}} (z)$ is convergent and the limit is independent of z. We prove the following converse result: If (2) is convergent for any $z \in ℝ^{n}$ and any $σ = σ_{1}, σ_{2}, . . .$ belonging to some subshift Σ of N symbols (and the limit is independent of z), then there exists j ≥ 1 such that for every $σ = σ_{1}, σ_{2}, . . . \in Σ$ the composition (1) is a contraction....

Intersection topologies with respect to separable GO-spaces and the countable ordinals

M. Jones (1995)

Fundamenta Mathematicae

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Given two topologies, $T_{1}$ and $T_{2}$ , on the same set X, the intersection topologywith respect to $T_{1}$ and $T_{2}$ is the topology with basis $U_{1} \cap U_{2} : U_{1} \in T_{1}, U_{2} \in T_{2}$ . Equivalently, T is the join of $T_{1}$ and $T_{2}$ in the lattice of topologies on the set X. Following the work of Reed concerning intersection topologies with respect to the real line and the countable ordinals, Kunen made an extensive investigation of normality, perfectness and $ω_{1}$ -compactness in this class of topologies. We demonstrate that the majority of his results...

On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice $L^{p} (\nabla, μ)$

Inomjon Ganiev, Farrukh Mukhamedov (2006)

Commentationes Mathematicae Universitatis Carolinae

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In the present paper we prove the “zero-two” law for positive contractions in the Banach-Kantorovich lattices $L^{p} (\nabla, μ)$ , constructed by a measure $μ$ with values in the ring of all measurable functions.

Displaying similar documents to “Random coincidence degree theory with applications to random differential inclusions”

Some results on L Σ ( κ ) -spaces

On the cardinality and weight spectra of compact spaces, II

On infinite composition of affine mappings

Intersection topologies with respect to separable GO-spaces and the countable ordinals

On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice L p ( ∇ , μ )

Some results on $L Σ (κ)$ -spaces

On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice $L^{p} (\nabla, μ)$