## Annals of Functional Analysis

### Ekeland's variational principle and critical points of dynamical systems in locally complete spaces

#### Abstract

Ekeland's variational principle and the existence of critical points of dynamical systems, also known as multiobjective optimization, have been proved in the setting of locally complete spaces. In this article we prove that these two properties can be deduced one from the other under certain convexity conditions.

#### Article information

Source
Ann. Funct. Anal. Volume 6, Number 4 (2015), 107-113.

Dates
First available in Project Euclid: 1 July 2015

Permanent link to this document
https://projecteuclid.org/euclid.afa/1435764005

Digital Object Identifier
doi:10.15352/afa/06-4-107

Mathematical Reviews number (MathSciNet)
MR3365985

Zentralblatt MATH identifier
1326.49024

#### Citation

Bosch, C.; García, C.L.; Garibay-Bonales, F.; Gómez-Wulschner, C.; Vera, R. Ekeland's variational principle and critical points of dynamical systems in locally complete spaces. Ann. Funct. Anal. 6 (2015), no. 4, 107--113. doi:10.15352/afa/06-4-107. https://projecteuclid.org/euclid.afa/1435764005

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