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Relaxation theorem for set-valued functions with decomposable values

100%

Kisielewicz A.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1996

tom 16

nr 1

91-97

Let (T,F,μ) be a separable probability measure space with a nonatomic measure μ. A subset K ⊂ L(T,Rⁿ) is said to be decomposable if for every A ∈ F and f ∈ K, g ∈ K one has $fχ_A + gχ_{T\A} ∈ K$. Using the property of decomposability as a substitute for convexity a relaxation theorem for fixed point sets of set-valued function is given.

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Generalized ramsey theory and decomposable properties of graphs

86%

Burr S., Jacobson M., Mihók P., Semanišin G.

Discussiones Mathematicae Graph Theory

1999

tom 19

nr 2

199-217

In this paper we translate Ramsey-type problems into the language of decomposable hereditary properties of graphs. We prove a distributive law for reducible and decomposable properties of graphs. Using it we establish some values of graph theoretical invariants of decomposable properties and show their correspondence to generalized Ramsey numbers.

Ograniczanie wyników

1 Discussiones Mathematicae Graph Theory

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Burr S.

1 Jacobson M.

1 Kisielewicz A.

1 Mihók P.

1 Semanišin G.

1 1999

1 1996

Wyniki wyszukiwania

Relaxation theorem for set-valued functions with decomposable values

Generalized ramsey theory and decomposable properties of graphs