Convergence theorems for a family of multivalued nonexpansive mappings in hyperbolic spaces

Osman Alagoz; Birol Gunduz; Sezgin Akbulut

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 1065-1073
  • ISSN: 2391-5455

Abstract

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In this article we modify an iteration process to prove strong convergence and Δ- convergence theorems for a finite family of nonexpansive multivalued mappings in hyperbolic spaces. The results presented here extend some existing results in the literature.

How to cite

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Osman Alagoz, Birol Gunduz, and Sezgin Akbulut. "Convergence theorems for a family of multivalued nonexpansive mappings in hyperbolic spaces." Open Mathematics 14.1 (2016): 1065-1073. <http://eudml.org/doc/287096>.

@article{OsmanAlagoz2016,
abstract = {In this article we modify an iteration process to prove strong convergence and Δ- convergence theorems for a finite family of nonexpansive multivalued mappings in hyperbolic spaces. The results presented here extend some existing results in the literature.},
author = {Osman Alagoz, Birol Gunduz, Sezgin Akbulut},
journal = {Open Mathematics},
keywords = {Hyperbolic spaces; Δ- convergence; Nonexpansive multivalued mapping; hyperbolic spaces; -convergence; nonexpansive multivalued mapping},
language = {eng},
number = {1},
pages = {1065-1073},
title = {Convergence theorems for a family of multivalued nonexpansive mappings in hyperbolic spaces},
url = {http://eudml.org/doc/287096},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Osman Alagoz
AU - Birol Gunduz
AU - Sezgin Akbulut
TI - Convergence theorems for a family of multivalued nonexpansive mappings in hyperbolic spaces
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1065
EP - 1073
AB - In this article we modify an iteration process to prove strong convergence and Δ- convergence theorems for a finite family of nonexpansive multivalued mappings in hyperbolic spaces. The results presented here extend some existing results in the literature.
LA - eng
KW - Hyperbolic spaces; Δ- convergence; Nonexpansive multivalued mapping; hyperbolic spaces; -convergence; nonexpansive multivalued mapping
UR - http://eudml.org/doc/287096
ER -

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