Geodesic
STABILITY OF MAPPINGS ON MULTI-NORMED SPACES
Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 321-332

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DOI

In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers–Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings from linear spaces into multi-normed spaces.
DOI : 10.1017/S0017089507003552
Mots-clés : Primary 39B82, Secondary 39B52, 46B99, 47A99 
DALES, H. G.; MOSLEHIAN, MOHAMMAD SAL. STABILITY OF MAPPINGS ON MULTI-NORMED SPACES. Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 321-332. doi: 10.1017/S0017089507003552
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     title = {STABILITY {OF} {MAPPINGS} {ON} {MULTI-NORMED} {SPACES}},
     journal = {Glasgow mathematical journal},
     pages = {321--332},
     year = {2007},
     volume = {49},
     number = {2},
     doi = {10.1017/S0017089507003552},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003552/}
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