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

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Gunduz B., AKBULUT S.

MATHEMATICAL SCIENCES, cilt.10, ss.55-61, 2016 (SCI-Expanded) identifier

  • 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
  • Erzincan Binali Yıldırım 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.