Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces

Abstract In this paper, the T -orbital ultrametric spaces are introduced and a fixed point theorem for sequentially bounded mappings is given. Our main result extends some known theorems for nonexpansive mappings. Examples are given to support our work.

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Autores principales: Babahmed,M., Amrani,A. El, Lazaiz,S.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200481
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spelling oai:scielo:S0716-091720200002004812020-05-06Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spacesBabahmed,M.Amrani,A. ElLazaiz,S. Ultrametric spaces T -orbital sets T -dimetral sets Fixed point Sequentially bounded mappings Abstract In this paper, the T -orbital ultrametric spaces are introduced and a fixed point theorem for sequentially bounded mappings is given. Our main result extends some known theorems for nonexpansive mappings. Examples are given to support our work.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.2 20202020-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200481en10.22199/issn.0717-6279-2020-02-0030
institution Scielo Chile
collection Scielo Chile
language English
topic Ultrametric spaces
T -orbital sets
T -dimetral sets
Fixed point
Sequentially bounded mappings
spellingShingle Ultrametric spaces
T -orbital sets
T -dimetral sets
Fixed point
Sequentially bounded mappings
Babahmed,M.
Amrani,A. El
Lazaiz,S.
Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces
description Abstract In this paper, the T -orbital ultrametric spaces are introduced and a fixed point theorem for sequentially bounded mappings is given. Our main result extends some known theorems for nonexpansive mappings. Examples are given to support our work.
author Babahmed,M.
Amrani,A. El
Lazaiz,S.
author_facet Babahmed,M.
Amrani,A. El
Lazaiz,S.
author_sort Babahmed,M.
title Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces
title_short Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces
title_full Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces
title_fullStr Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces
title_full_unstemmed Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces
title_sort fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200481
work_keys_str_mv AT babahmedm fixedpointsanddiametralsetsforsequentiallyboundedmappingsinorbitalultrametricspaces
AT amraniael fixedpointsanddiametralsetsforsequentiallyboundedmappingsinorbitalultrametricspaces
AT lazaizs fixedpointsanddiametralsetsforsequentiallyboundedmappingsinorbitalultrametricspaces
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