# Approximation of Common Fixed Points of Two Strictly Pseudononspreading Multivalued Mappings in ℝ-Trees

PHUENGRATTANA, WITHUN

• Accepted : 2014.04.11
• Published : 2015.06.23
• 13 4

#### 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.

#### Keywords

fixed point;$\mathbb{R}$-tree;strictly pseudononspreading mapping;convergence theorems

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