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

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