IJPAM: Volume 89, No. 4 (2013)

ON $I$-CAUCHY SEQUENCES IN $p$-ADIC
LINEAR $2$-NORMED SPACES

B. Surender Reddy$^1$, D. Shankaraiah$^2$
$^1$Department of Mathematics
University College of Science
Saifabad, Osmania University
Hyderabad, AP, INDIA
$^2$Department of Mathematics
CVR College of Engineering
Ibrahimpatnam, Ranga Reddy District, AP, INDIA


Abstract. In this paper, we introduce the concept of $I^{*}$-convergence which is closely related to $I$-convergence and the concepts $I$ and $I^{*}$-Cauchy sequences in $p$-adic linear $2$-normed space. Also we investigate the relation between these concepts in $p$-adic linear $2$-normed space.

Received: August 8, 2013

AMS Subject Classification: 11B68, 11F80, 46A15, 11S80, 46A65

Key Words and Phrases: $2$-normed space, $p$-adic $2$-norm, $p$-adic linear $2$-normed space, $I$-Cauchy sequence, $I^{*}$-Cauchy sequence

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DOI: 10.12732/ijpam.v89i4.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 4