The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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TWO KINDS OF CONVERGENCES IN HYPERBOLIC SPACES IN THREE-STEP ITERATIVE SCHEMES

  • Received : 2020.10.28
  • Accepted : 2021.01.07
  • Published : 2021.02.28
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Abstract

In this paper, we introduce a new three-step iterative scheme for three finite families of nonexpansive mappings in hyperbolic spaces. And, we establish a strong convergence and a ∆-convergence of a given iterative scheme to a common fixed point for three finite families of nonexpansive mappings in hyperbolic spaces. Our results generalize and unify the several main results of [1, 4, 5, 9].

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References

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