A one-step implicit iterative process for a finite family of I-nonexpansive mappings in Kohlenbach hyperbolic spaces
MATHEMATICAL SCIENCES, cilt.10, ss.55-61, 2016 (SCI-Expanded, ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10
- Basım Tarihi: 2016
- Doi Numarası: 10.1007/s40096-016-0178-9
- Dergi Adı: MATHEMATICAL SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.55-61
- Atatürk Üniversitesi Adresli: Evet
Özet
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 Delta-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.