Minimal element theorems revisited

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:486

Article

Hamel, Andreas H.¹  Zalinescu, Constantin^2,3 

[1] Free Univ Bozen Bolzano, Fac Econ & Management, Univ Sq 1, I-39031 Bruneck Brunico, Italy

[2] Univ Al J Cuza Iasi, Fac Math, Bd Carol 1 11, Iasi 700506, Romania

[3] Octav Mayer Inst Math, Bd Carol 1,8, Iasi 700505, Romania

关键词: Variational principles;    Minimal element theorems;    Set-valued maps;    Set relations;    Locally convex spaces;   

DOI  :  10.1016/j.jmaa.2020.123935

来源: Elsevier

【 摘 要 】

Starting with the Brezis-Browder principle, we give stronger versions of many variational principles and minimal element theorems which appeared in the recent literature. Relationships among the elements of different sets of assumptions are discussed and clarified, i.e., assumptions to the metric structure of the underlying space and boundedness assumptions. New results involving set-valued maps and the increasingly popular set relations are obtained along the way. (C) 2020 Published by Elsevier Inc.

【 授权许可】

Free