A one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space View Full Text


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Article Info

DATE

2018-09-07

AUTHORS

Hafiz Fukhar-ud-din, Amna Kalsoom, Safeer H Khan

ABSTRACT

We introduce a one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space and use it to approximate common fixed points of these families. The results presented in this paper are new in the setting of hyperbolic spaces. On top, these are generalizations of several results in literature from Banach spaces to hyperbolic spaces. At the end of the paper, we give an example to validate our results. More... »

PAGES

274-286

References to SciGraph publications

  • 2012-04-02. An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces in FIXED POINT THEORY AND APPLICATIONS
  • 1999. Metric Spaces of Non-Positive Curvature in NONE
  • 1928-12. Untersuchungen über allgemeine Metrik in MATHEMATISCHE ANNALEN
  • 2007-12-24. Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces in FIXED POINT THEORY AND APPLICATIONS
  • 1948-12. Spaces with non-positive curvature in ACTA MATHEMATICA
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11766-018-3370-x

    DOI

    http://dx.doi.org/10.1007/s11766-018-3370-x

    DIMENSIONS

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