On the generalized asymptotically nonspreading mappings in convex metric spaces

In this article, we propose a new class of nonlinear mappings, namely, generalized asymptotically nonspreading mapping, and prove the existence of fixed points for such mapping in convex metric spaces. Furthermore, we also obtain the demiclosed principle and a delta-convergence theorem of Mann itera...

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Main Author: Withun Phuengrattana
Format: Article
Language:English
Published: Universitat Politècnica de València 2017-04-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/6578
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spelling doaj-56330a1c77f54d2697089fa7bcbb540e2020-11-24T21:32:07ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472017-04-0118111712910.4995/agt.2017.65785215On the generalized asymptotically nonspreading mappings in convex metric spacesWithun Phuengrattana0Nakhon Pathom Rajabhat UniversityIn this article, we propose a new class of nonlinear mappings, namely, generalized asymptotically nonspreading mapping, and prove the existence of fixed points for such mapping in convex metric spaces. Furthermore, we also obtain the demiclosed principle and a delta-convergence theorem of Mann iteration for generalized asymptotically nonspreading mappings in CAT(0) spaces.http://polipapers.upv.es/index.php/AGT/article/view/6578asymptotically nonspreading mappingconvex metric spacesCAT(0) spacesdemiclosed principle
collection DOAJ
language English
format Article
sources DOAJ
author Withun Phuengrattana
spellingShingle Withun Phuengrattana
On the generalized asymptotically nonspreading mappings in convex metric spaces
Applied General Topology
asymptotically nonspreading mapping
convex metric spaces
CAT(0) spaces
demiclosed principle
author_facet Withun Phuengrattana
author_sort Withun Phuengrattana
title On the generalized asymptotically nonspreading mappings in convex metric spaces
title_short On the generalized asymptotically nonspreading mappings in convex metric spaces
title_full On the generalized asymptotically nonspreading mappings in convex metric spaces
title_fullStr On the generalized asymptotically nonspreading mappings in convex metric spaces
title_full_unstemmed On the generalized asymptotically nonspreading mappings in convex metric spaces
title_sort on the generalized asymptotically nonspreading mappings in convex metric spaces
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2017-04-01
description In this article, we propose a new class of nonlinear mappings, namely, generalized asymptotically nonspreading mapping, and prove the existence of fixed points for such mapping in convex metric spaces. Furthermore, we also obtain the demiclosed principle and a delta-convergence theorem of Mann iteration for generalized asymptotically nonspreading mappings in CAT(0) spaces.
topic asymptotically nonspreading mapping
convex metric spaces
CAT(0) spaces
demiclosed principle
url http://polipapers.upv.es/index.php/AGT/article/view/6578
work_keys_str_mv AT withunphuengrattana onthegeneralizedasymptoticallynonspreadingmappingsinconvexmetricspaces
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