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

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 2,  2015, pp.373-382
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.2.373
Title & Authors
Approximation of Common Fixed Points of Two Strictly Pseudononspreading Multivalued Mappings in ℝ-Trees
PHUENGRATTANA, WITHUN;

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