τ-demicloseness principle and asymptotic behavior for semigroups of nonexpansive mappings in metric spaces | NOVA. The University of Newcastle's Digital Repository

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/802631

Title: τ-demicloseness principle and asymptotic behavior for semigroups of nonexpansive mappings in metric spaces
Author/Creator: Li, Gang; Sims, Brailey
Institution: The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description: Let (M,ρ) be a metric space, τ be a Hausdorff topology on M such that (M,ρ,τ) has Opial's condition, and let G be a semigroup and Ȝ = {T(t) : t ∈ G) be a semigroup of nonexpansive mapping from M into itself. Then for any ρ-bounded directed net {xα), the condition {T(t)xα) is τ-convergent to x for all t ∈ G implies that T(t)x = x for all t ∈ G. This τ-demicloseness principle is used to study the asymptotic behavior of almost-orbits of nonexpansive semigroup.
Relation: 8th International Conference on Fixed Point Theory and its Applications. Fixed Point Theory and its Applications (Chiang Mai, Thailand 16-22 July, 2007) p. 103-108
Relation: http://math.science.cmu.ac.th/ICFPTA2007/proceeding.php
Date: 2008
Publisher: Yokohama Publishers
Keyword(s): τ-demicloseness; asymptotic behavior; Hausdorff topology; nonexpansive semigroup
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.13/802631
Identifier: ISBN:9784946552311

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