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Equilibrium of maximal monotone operator in a given set

100%

Zagrodny D.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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2000

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tom 20

|

nr 2

159-169

EN

Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in [10].

2

The cancellation law for inf-convolution of convex functions

100%

Zagrodny D.

Studia Mathematica

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1994

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tom 110

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nr 3

271-282

EN

Conditions under which the inf-convolution of f and g $f □ g(x):= inf_{y+z=x}(f(y)+g(z))$ has the cancellation property (i.e. f □ h ≡ g □ h implies f ≡ g) are treated in a convex analysis framework. In particular, we show that the set of strictly convex lower semicontinuous functions $f: X → ℝ ∪ {+∞}$ on a reflexive Banach space such that $ lim_{∥x∥ → ∞} f(x)/∥x∥ = ∞$ constitutes a semigroup, with inf-convolution as multiplication, which can be embedded in the group of its quotients.

3

A weak* approximation of subgradient of convex function

32%

Zagrodny D.

Control and Cybernetics

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2007

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tom 36

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nr 3

793-802

4

Dedicatio

26%

Bednarczuk E., Naniewicz Z., Zagrodny D.

Control and Cybernetics

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2007

|

tom 36

|

nr 3

485-486

Ograniczanie wyników

2 Control and Cybernetics

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Studia Mathematica

4 Zagrodny D.

1 Bednarczuk E.

1 Naniewicz Z.

2 2007

1 2000

1 1994

Equilibrium of maximal monotone operator in a given set

The cancellation law for inf-convolution of convex functions

A weak* approximation of subgradient of convex function

Dedicatio