Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CONVERGENCE OF A NEW MULTISTEP ITERATION IN CONVEX CONE METRIC SPACES

  • Gunduz, Birol (Department of Mathematics Faculty of Science and Art Erzincan University)
  • Received : 2016.01.06
  • Published : 2017.01.31
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Abstract

In this paper, we propose a new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex cone metric spaces. Then we show that our iteration converges to a common fixed point of this class of mappings under suitable conditions. Our result generalizes the corresponding result of Lee [5] from the closed convex subset of a convex cone metric space to whole space.

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References

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