Fixed points of set-valued maps in locally complete spaces

Carlos Bosch; César L. García; Thomas Gilsdorf; Claudia Gómez-Wulschner; Rigoberto Vera

doi:10.1186/s13663-017-0607-y

Fixed points of set-valued maps in locally complete spaces

Carlos Bosch, César L. García, Thomas Gilsdorf, Claudia Gómez-Wulschner, Rigoberto Vera

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	13
Journal	Fixed Point Theory and Applications
Volume	2017
Issue number	1
DOIs	https://doi.org/10.1186/s13663-017-0607-y
State	Published - Dec 1 2017

Keywords

Pareto optimization
fixed points
set-valued map

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10.1186/s13663-017-0607-y

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title = "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.",

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AU - Vera, Rigoberto

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AB - 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.

KW - Pareto optimization

KW - fixed points

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DO - 10.1186/s13663-017-0607-y

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JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

SN - 1687-1820

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M1 - 13

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Fixed points of set-valued maps in locally complete spaces

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Keywords

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