Annals of Functional Analysis

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

C. Bosch, C.L. García, F. Garibay-Bonales, C. Gómez-Wulschner, and R. Vera

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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

Subjects
Primary: 46N10: Applications in optimization, convex analysis, mathematical programming, economics
Secondary: 47N10: Applications in optimization, convex analysis, mathematical programming, economics 49J53: Set-valued and variational analysis [See also 28B20, 47H04, 54C60, 58C06]

Keywords
Ekeland's variational principle locally complete space multiobjective optimization absolutely convex

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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References

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