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


Gunduz B. , AKBULUT S.

MATHEMATICAL SCIENCES, cilt.10, ss.55-61, 2016 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 10
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s40096-016-0178-9
  • Dergi Adı: MATHEMATICAL SCIENCES
  • Sayfa Sayıları: ss.55-61

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.