Nonlinear Versions of a Vector Maximal Principle
Functional Analysis
2011-07-25 v2 Optimization and Control
Abstract
Some nonlinear extensions of the vector maximality statement established by Goepfert, Tammer and Zalinescu [Nonl. Anal., 39 (2000), 909-922] are given. Basic instruments for these are the Brezis-Browder ordering principle [Advances Math., 21 (1976), 355-364] and a (pseudometric) version of it obtained in Turinici [Demonstr. Math., 22 (1989), 213-228].
Cite
@article{arxiv.1005.2040,
title = {Nonlinear Versions of a Vector Maximal Principle},
author = {Mihai Turinici},
journal= {arXiv preprint arXiv:1005.2040},
year = {2011}
}
Comments
An expanded version of a homonymous paper published in [Nonlinear Anal., 74 (2011), 2388-2391]