Fixed points of set-valued maps in locally complete spaces

Abstract We prove an extension of the Pareto optimization criterion to locally complete locally convex vector spaces to guarantee the existence of fixed points of set-valued maps.

Bibliographic Details
Main Authors: Carlos Bosch, César L García, Thomas Gilsdorf, Claudia Gómez-Wulschner, Rigoberto Vera
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Fixed Point Theory and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13663-017-0607-y