Variational Principles in Fang Uniform Spaces

2010/06/18 by Mihai Turinici, Turinici, Mihai
Computer Science · Mathematics · #49J53 (Primary) #54E25 (Secondary) #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Fixed Point Theorems Analysis #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.OC #msc:49J53 #msc:54E25

paper · pdf · doi:10.48550/arxiv.1006.3703

openalex publication_date 2010/06/18 · arxiv created 2013/02/09 · arxiv updated 2013/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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