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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Universitat Politècnica de València
2017-04-01
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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 |
_version_ |
1725958589647945728 |