Ward continuity in 2-normed spaces
In this paper, we introduce and investigate the concept of ward continuity in 2-normed spaces. A function f defined on a 2-normed space (X,?.,.?) is ward continuous if it preserves quasi-Cauchy sequences, where a sequence (xn) of points in X is called quasi-Cauchy if limn?1 ??xn,z? = 0 for every z ? X. Some other kinds of continuities are also introduced, and interesting theorems are proved in 2-normed spaces.
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2019 ◽
Vol 38
(7)
◽
pp. 195-202
2019 ◽
Vol 13
(04)
◽
pp. 2050085
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