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

Author:

Alagoz Osman1,Gunduz Birol2,Akbulut Sezgin3

Affiliation:

1. 1 Department of Mathematics, Faculty of Scence and Art, Bilecik University, Bilecik, 11000, Turkey

2. 2 Department of Mathematics, Faculty of Scence and Art, Erzincan University, 24000, Turkey

3. 3 Department of Mathematics, Faculty of Scence and Art, Ataturk University, Erzurum, 25240, Turkey

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference15 articles.

1. Common fixed point of two finite families of nonexpansive mappings in Kochlenbach hyperbolic spaces Nonlinear Common fixed point of two finite families of nonexpansive mappings in Kochlenbach hyperbolic spacesJ Nonlinear Funct;Gunduz;Funct Anal Anal,2015

2. On the rate of convergence of Mannjshikawa Noor and SP - iterations for continous functions on an arbitrary interval On the rate of convergence of Mannjshikawa Noor and SP - iterations for continous functions on an arbitrary intervalJ;Phuengrattana;Comput Appl Math Comput Appl Math,2011

3. Strong and Δ convergence of a faster iteration process in hyperbolic space Korean Math Strong and Δ convergence of a faster iteration process in hyperbolic spaceKorean Math;Akbulut;Soc Soc,2015

4. Some notes on Ishikawa iteration for multivalued mappings Some notes on Ishikawa iteration for multivalued mappingsBull;Song;Korean Math Soc Korean Math Soc,2011

5. Multivalued contraction mappings Multivalued contraction mappingsPasific J;Nadler;Math Math,1969

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