A one-step implicit iterative process for a finite family of I-nonexpansive mappings in Kohlenbach hyperbolic spaces

A one-step implicit iterative process for a finite family of I-nonexpansive mappings in Kohlenbach hyperbolic spaces

The purpose of the present paper is threefold. First, to give definition of I -nonexpansive mappings in a Kohlenbach hyperbolic space. Second, to define a new one-step implicit iterative process. Finally, to establish strong and Δ -convergence theorems for this iterative process in a Kohlenbach hype...

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Veröffentlicht in:Mathematical sciences (Karaj, Iran) Iran), 2016-06, Vol.10 (1-2), p.55-61
Hauptverfasser: Gunduz, Birol, Akbulut, Sezgin
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Formulas (mathematics)
Iterative methods
Mapping
Mathematical analysis
Mathematics
Mathematics and Statistics
Original Research
Texts
Theorems
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Zusammenfassung:The purpose of the present paper is threefold. First, to give definition of I -nonexpansive mappings in a Kohlenbach hyperbolic space. Second, to define a new one-step implicit iterative process. Finally, to establish strong and Δ -convergence theorems for this iterative process in a Kohlenbach hyperbolic space. In addition, an example is provided to validate our result. Our results extend some existing results.
ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-016-0178-9