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On the connectivity of efficient point sets

100%

Song W.

Applicationes Mathematicae

1998-1999

tom 25

nr 1

121-127

The connectivity of the efficient point set and of some proper efficient point sets in locally convex spaces is investigated.

On automatic boundedness of Nemytskiĭ set-valued operators

63%

Rolewicz S., Song W.

Studia Mathematica

1995

tom 113

nr 1

65-72

Let X, Y be two separable F-spaces. Let (Ω,Σ,μ) be a measure space with μ complete, non-atomic and σ-finite. Let $N_F$ be the Nemytskiĭ set-valued operator induced by a sup-measurable set-valued function $F:Ω × X → 2^{Y}$. It is shown that if $N_F$ maps a modular space $(N(L(Ω,Σ,μ;X)), ϱ_{N,μ})$ into subsets of a modular space $(M(L(Ω,Σ,μ;Y)),ϱ_{M,μ})$, then $N_F$ is automatically modular bounded, i.e. for each set K ⊂ N(L(Ω,Σ,μ;X)) such that $r_K = sup{ϱ_{N,μ}(x) : x ∈ K} < ∞$ we have $sup{ϱ_{M,μ}(y): y ∈ N_F(K)} < ∞$.

Error bounds for convex constrained systems in Banach spaces

32%

Song W.

Control and Cybernetics

2007

tom 36

nr 3

775-792

Ograniczanie wyników

1 Applicationes Mathematicae

1 Control and Cybernetics

1 Studia Mathematica

3 Song W.

1 Rolewicz S.

1 2007

1 1998

1 1995

Wyniki wyszukiwania

On the connectivity of efficient point sets

On automatic boundedness of Nemytskiĭ set-valued operators

Error bounds for convex constrained systems in Banach spaces