Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Approximation of Common Fixed Points of Two Strictly Pseudononspreading Multivalued Mappings in ℝ-Trees

  • PHUENGRATTANA, WITHUN (Department of Mathematics, Faculty of Science and Technology, Nakhon Pathom Rajabhat University)
  • Received : 2013.12.26
  • Accepted : 2014.04.11
  • Published : 2015.06.23
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Abstract

In this paper, we introduce and study a new multivalued mapping in $\mathbb{R}$-trees, called k-strictly pseudononspreading. We also introduce a new two-step iterative process for two k-strictly pseudononspreading multivalued mappings in $\mathbb{R}$-trees. Strong convergence theorems of the proposed iteration to a common fixed point of two k-strictly pseudononspreading multivalued mappings in $\mathbb{R}$-trees are established. Our results improve and extend the corresponding results existing in the literature.

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References

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