Gauge Brezis-Browder Principles and Dependent Choice
Optimization and Control
2013-02-22 v1
Abstract
The gauge Brezis-Browder Principle in Turinici [Bull. Acad. Pol. Sci. (Math.), 30 (1982), 161-166] is obtainable from the Principle of Dependent Choices (DC) and implies Ekeland's Variational Principle (EVP); hence, it is equivalent with both (DC) and (EVP). This is also true for the gauge variational principle deductible from it, including the one in Bae, Cho, and Kim [Bull. Korean Math. Soc. 48 (2011), 1023-1032].
Cite
@article{arxiv.1302.5415,
title = {Gauge Brezis-Browder Principles and Dependent Choice},
author = {Mihai Turinici},
journal= {arXiv preprint arXiv:1302.5415},
year = {2013}
}