General composite implicit iteration process for a finite family of asymptotically pseudo-contractive mappings

General composite implicit iteration process for a finite family of asymptotically pseudo-contractive mappings

In this paper, a modified general composite implicit iteration process is used to study the convergence of a finite family of asymptotically nonexpansive mappings. Weak and strong convergence theorems have been proved, in the framework of a Banach space. MSC: 47H09, 47H10.

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Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) 2014-04, Vol.2014 (1), p.1-15, Article 90
Hauptverfasser: Thakur, Balwant Singh, Dewangan, Rajshree, Postolache, Mihai
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Asymptotic properties
Banach space
Convergence
Differential Geometry
Mapping
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Theorems
Topology
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Zusammenfassung:In this paper, a modified general composite implicit iteration process is used to study the convergence of a finite family of asymptotically nonexpansive mappings. Weak and strong convergence theorems have been proved, in the framework of a Banach space. MSC: 47H09, 47H10.
ISSN:1687-1812
1687-1812
DOI:10.1186/1687-1812-2014-90