ON n-NORMED SPACES
نویسندگان
چکیده
Given ann-normed space withn≥ 2, we offer a simple way to derive an (n−1)norm from the n-norm and realize that any n-normed space is an (n−1)-normed space. We also show that, in certain cases, the (n−1)-norm can be derived from the n-norm in such a way that the convergence and completeness in the n-norm is equivalent to those in the derived (n− 1)-norm. Using this fact, we prove a fixed point theorem for some n-Banach spaces. 2000 Mathematics Subject Classification. 46B20, 46B99, 46A19, 46A99, 47H10.
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