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American Journal of Applied Mathematics and Statistics. 2019, 7(3), 93-100
DOI: 10.12691/AJAMS-7-3-2
Original Research

Iterative Method for Approximating a Common Fixed Point for Family of Multivalued Nonself Mappings in Uniformly Convex Hyperbolic Spaces

Mollalgn Haile Takele1, and B. Krishna Reddy2

1Department of Mathematics, College of Science, Bahir Dar University, Ethiopia

2Department of Mathematics, University College of Science, Osmania University, India

Pub. Date: April 10, 2019
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Cite this paper

Mollalgn Haile Takele and B. Krishna Reddy. Iterative Method for Approximating a Common Fixed Point for Family of Multivalued Nonself Mappings in Uniformly Convex Hyperbolic Spaces. American Journal of Applied Mathematics and Statistics. 2019; 7(3):93-100. doi: 10.12691/AJAMS-7-3-2

Abstract

In this paper, authors constructed Mann type of iterative method for the finite family of multi valued, nonself and nonexpansive mappings in a uniformly convex hyperbolic space. Authors proved strong convergence theorems of the iterative method, which approximates a common fixed point for the family single valued and multi valued nonexpansive mappings in a complete uniformly convex hyperbolic space which is more general than a complete CAT(0) space and a uniformly convex Banach space. The results in this work extended many results in the literature.

Keywords

fixed point, nonself mapping, nonexpansive mapping, multi valued mapping, mann type iterative method, uniformly convex metric space, hyperbolic space

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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