Numerical Algorithms

, Volume 71, Issue 1, pp 25–39 | Cite as

Approximating fixed points of mappings satisfying condition (E) in Busemann space

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Abstract

It is well-known that in a Banach space, using the Ishikawa iterative process, one can find fixed points of nonexpansive mappings via asymptotic center’s method. In this paper, we obtain the fixed points of mappings satisfying so-called condition (E) in a uniformly convex Busemann space. Many known results in CAT (0) spaces are improved and extended by our results.

Keywords

Asymptotic center Mappings satisfying condition (E) Ishikawa iterative process Uniformly convex Busemann space 

Mathematics Subject Classification (2010)

Primary: 47H10, 54H25 Secondary: 54E40 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of Mathematics, Khomeinishahr BranchIslamic Azad UniversityIsfahanIran

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