Variational Principles in Fang Uniform Spaces

arXiv1006.3703MaRDI QIDQ6219338

Publication date: 18 June 2010

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.

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Semimetric spaces (54E25)

This page was built for publication: Variational Principles in Fang Uniform Spaces