Fixed points of set-valued mappings satisfying a Banach orbital condition

• Autores: Raúl Fierro, Sergio Pizarro
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 1, 2023, págs. 151-159
• Idioma: inglés
• DOI: 10.56754/0719-0646.2501.151
• Enlaces
  • Texto completo
• Resumen
  • español

    En esta nota, demostramos un teorema de existencia de un punto fijo para funciones a valores en conjuntos extendiendo el concepto de la condición orbital de Banach usual para funciones univaluadas. Como mostramos, este resultado aplica a diversos tipos de contracciones a valores en conjuntos existentes en la literatura.

  • English

    In this note, we prove a fixed point existence theorem for set-valued functions by extending the usual Banach orbital condition concept for single valued mappings. As we show, this result applies to various types of set-valued contractions existing in the literature.

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