Strong convergence of asymptotically pseudocontractive semigroup by viscosity iteration

In this paper, we study the strong convergence of viscosity iteration and modified viscosity iteration process for strongly continuous semigroup of uniformly Lipschitzian asymptotically pseudocontractive mappings.

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Veröffentlicht in:Applied mathematics and computation 2014-12, Vol.248, p.160-168
Hauptverfasser: Dewangan, Rajshree, Thakur, Balwant Singh, Postolache, Mihai
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container_title Applied mathematics and computation
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creator Dewangan, Rajshree
Thakur, Balwant Singh
Postolache, Mihai
description In this paper, we study the strong convergence of viscosity iteration and modified viscosity iteration process for strongly continuous semigroup of uniformly Lipschitzian asymptotically pseudocontractive mappings.
doi_str_mv 10.1016/j.amc.2014.09.115
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subjects Asymptotic properties
Common fixed point
Computation
Convergence
Group theory
Iterative methods
Mapping
Mathematical models
Semigroup of asymptotically pseudocontractive mappings
Strong convergence
Viscosity
Viscosity iteration process
title Strong convergence of asymptotically pseudocontractive semigroup by viscosity iteration
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