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
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2014.09.115