On the strong and Δ-convergence theorems for total asymptotically nonexpansive mappings on CAT(0) space

Authors

  • M. Basarir Department of Mathematics, Faculty of Sciences and Arts, Sakarya University, Esentepe Campus, 54187, Serdivan, Sakarya, Turkey
  • A. Şahin Department of Mathematics, Faculty of Sciences and Arts, Sakarya University, Esentepe Campus, 54187, Serdivan, Sakarya, Turkey
https://doi.org/10.15330/cmp.5.2.170-179

Keywords:

CAT(0) space, total asymptotically nonexpansive mapping, strong convergence, Δ-convergence, iterative process, fixed point
Published online: 2013-12-30

Abstract

In this paper, we give the strong and Δ-convergence theorems of the modified S-iteration and the modified two-step iteration processes for total asymptotically nonexpansive mappings on a CAT(0) space. Our results extend and improve the corresponding recent results announced by many authors in the literature.

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How to Cite
(1)
Basarir, M.; Şahin, A. On the Strong and Δ-Convergence Theorems for Total Asymptotically Nonexpansive Mappings on CAT(0) Space. Carpathian Math. Publ. 2013, 5, 170-179.