Nonlinear Versions of a Vector Maximal Principle

Mathematics – Functional Analysis

Scientific paper

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An expanded version of a homonymous paper published in [Nonlinear Anal., 74 (2011), 2388-2391]

Scientific paper

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].

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