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

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2020-02-0030

Keywords:

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.

Author Biographies

Mohammed Babahmed, University of Moulay Ismail.

Dept.t of Mathematics, Faculty of Sciences Zitoune.

Abdelkhalek El Amrani, University Moulay Ismail.

Dept. of Mathematics, Faculty of Sciences Dhar El Mahraz,Laboratory of Mathematical Analysis and Applications (LAMA).

Samih Lazaiz, University Sidi Mohamed Ben Abdellah.

Dept.of Mathematics, Faculty of Sciences Dhar El Mahraz, Laboratory of Mathematical Analysis and Applications (LAMA).

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Published

2020-04-30

How to Cite

[1]
M. Babahmed, A. El Amrani, and S. Lazaiz, “Fixed points and diametral sets for sequentially bounded mappings in orbital ultrametric spaces”, Proyecciones (Antofagasta, On line), vol. 39, no. 2, pp. 481-493, Apr. 2020.

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