Iteration regularized semigroups of set-valued functions

• Autorzy: Mosallanezhad, M. , Janfada, M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a set-valued iteration regularized semigroup, i.e. a family {F^t}_t≥0 of set-valued functions for which F^s+t∘C=F^s∘F^t,F⁰=C,s,t≥0, will be considered, where C is a set-valued function on a closed convex cone in a Banach space. Under some appropriate conditions the generator of a set-valued regularized concave semigroup is introduced and some of its properties are investigated. Also differentiability of the iteration family {C∘ F^t}_t≥0 is discussed.

Słowa kluczowe

PL

półgrupa iteracji; wklęsła półgrupa iteracji

EN

iteration semigroup; concave iteration semigroup

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2016
• Tom: Vol. 22, nr 2
• Strony: 121--130
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Mosallanezhad, M.

• Department of Pure Mathematics, Ferdowsi University of Mashhad, International Campus, Iran (Islamic Republic of)

autor

Janfada, M.

• Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran (Islamic Republic of)

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.

Identyfikatory

DOI

10.1515/jaa-2016-0013