Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces

Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces

We introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semigroups with the Meir-Keeler-type contraction in a Banach space. Then we prove the strong convergence for the implicit and explicit iterative schemes. Our results extend and improve some recent ones in lit...

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Veröffentlicht in:Journal of Applied Mathematics 2012-01, Vol.2012 (2012), p.1478-1491-597
Hauptverfasser: Huang, Jiancai, Cho, Yeol Je, Wang, Shenghua
Format: Artikel
Sprache:eng
Schlagworte:
Banach space
Banach spaces
Convergence
Electric power
Hilbert space
Inequality
Iterative methods
Mathematical analysis
Studies
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Zusammenfassung:We introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semigroups with the Meir-Keeler-type contraction in a Banach space. Then we prove the strong convergence for the implicit and explicit iterative schemes. Our results extend and improve some recent ones in literatures.
ISSN:1110-757X
1687-0042
DOI:10.1155/2012/720192