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

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.

Bibliographic Details
Main Authors: Raúl Fierro, Sergio Pizarro
Format: Article
Language:English
Published: Universidad de La Frontera 2023-04-01
Series:Cubo
Subjects:
Online Access:https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3341/2282
Description
Summary: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.
ISSN:0716-7776
0719-0646