In this paper, we consider a generalized triangle inequality of the following type: where (X, ‖·‖) is a normed space, (µ1, ..., µn) ∈ ℝn and p > 0. By using ψ-direct sums of Banach spaces, we present another approach to characterizations of the above inequality which is given by [Dadipour F., Moslehian M.S., Rassias J.M., Takahasi S.-E., Nonlinear Anal., 2012, 75(2), 735–741].
@article{bwmeta1.element.doi-10_2478_s11533-014-0432-z,
author = {Tamotsu Izumida and Ken-Ichi Mitani and Kichi-Suke Saito},
title = {Another approach to characterizations of generalized triangle inequalities in normed spaces},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {1615-1623},
zbl = {1311.46014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0432-z}
}
Tamotsu Izumida; Ken-Ichi Mitani; Kichi-Suke Saito. Another approach to characterizations of generalized triangle inequalities in normed spaces. Open Mathematics, Tome 12 (2014) pp. 1615-1623. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0432-z/
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