Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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STRONG AND Δ-CONVERGENCE OF A FASTER ITERATION PROCESS IN HYPERBOLIC SPACE

  • AKBULUT, SEZGIN (Department of Mathematics Faculty of Science Ataturk University) ;
  • GUNDUZ, BIROL (Department of Mathematics Faculty of Science and Art Erzincan University)
  • Received : 2015.01.15
  • Published : 2015.06.30
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Abstract

In this article, we first give metric version of an iteration scheme of Agarwal et al. [1] and approximate fixed points of two finite families of nonexpansive mappings in hyperbolic spaces through this iteration scheme which is independent of but faster than Mann and Ishikawa scheme. Also we consider case of three finite families of nonexpansive mappings. But, we need an extra condition to get convergence. Our convergence theorems generalize and refine many know results in the current literature.

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References

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