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

• Babahmed, Mohammed ^[2] ; El Amrani, Abdelkhalek ^[3] ; Lazaiz, Samih ^[1]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
  2. [2] University of Moulay Ismail.
  3. [3] University Moulay Ismail.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 2, 2020, págs. 481-493
• Idioma: inglés
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• Resumen

  • 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.