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

Creative Commons License

Gunduz B., AKBULUT S.

MATHEMATICAL SCIENCES, vol.10, pp.55-61, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 10
  • Publication Date: 2016
  • Doi Number: 10.1007/s40096-016-0178-9
  • Journal Name: MATHEMATICAL SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.55-61
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

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.