Viscosity Iteration in CAT(κ) Spaces

Bozena Piatek

doi:10.1080/01630563.2013.767270

Viscosity Iteration in CAT(κ) Spaces

Bozena Piatek

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

11 Cytowania z bazy Scopus

Abstrakt

We study the approximation of fixed points of nonexpansive mappings in CAT(κ) spaces. We show that the iterative sequence generated by the Moudafi's viscosity type algorithm converges to one of the fixed points of the nonexpansive mapping depending on the contraction applied in the algorithm.

Język oryginału	angielski
Strony (od–do)	1245-1264
Liczba stron	20
Czasopismo	Numerical Functional Analysis and Optimization
Tom	34
Numer wydania	11
Identyfikatory DOI	https://doi.org/10.1080/01630563.2013.767270
Status publikacji	Opublikowano - 2 lis 2013

Obszary tematyczne ASJC Scopus

Analiza
Przetwarzanie sygnałów
Zastosowania informatyki
Sterowanie i optymalizacja

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10.1080/01630563.2013.767270

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title = "Viscosity Iteration in CAT(κ) Spaces",

abstract = "We study the approximation of fixed points of nonexpansive mappings in CAT(κ) spaces. We show that the iterative sequence generated by the Moudafi's viscosity type algorithm converges to one of the fixed points of the nonexpansive mapping depending on the contraction applied in the algorithm.",

keywords = "CAT(κ) spaces, Fixed points, Nonexpansive mappings, Viscosity iterates",

author = "Bozena Piatek",

year = "2013",

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AB - We study the approximation of fixed points of nonexpansive mappings in CAT(κ) spaces. We show that the iterative sequence generated by the Moudafi's viscosity type algorithm converges to one of the fixed points of the nonexpansive mapping depending on the contraction applied in the algorithm.

KW - CAT(κ) spaces

KW - Fixed points

KW - Nonexpansive mappings

KW - Viscosity iterates

UR - https://www.scopus.com/pages/publications/84884854469

U2 - 10.1080/01630563.2013.767270

DO - 10.1080/01630563.2013.767270

M3 - Article

AN - SCOPUS:84884854469

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JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 11

ER -

Viscosity Iteration in CAT(κ) Spaces

Abstrakt

Obszary tematyczne ASJC Scopus

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