Variational Principles in Fang Uniform Spaces
Optimization and Control
2013-02-12 v3
Abstract
The vectorial Zhu-Li Variational Principle (ZLVP) in Fang uniform spaces is in the logical segment between the Brezis-Browder ordering principle (BB) and Ekeland's Variational Principle (EVP); hence, it is equivalent with both BB and EVP. In particular, the conclusion is applicable to Hamel's Variational Principle (HVP). Finally, a proof of [HVP equivalent with EVP] is provided, by means of a direct approach.
Cite
@article{arxiv.1006.3703,
title = {Variational Principles in Fang Uniform Spaces},
author = {Mihai Turinici},
journal= {arXiv preprint arXiv:1006.3703},
year = {2013}
}