TY - JOUR
T1 - Convergence of sequences in l2(P) with respect to a partial metric
AU - Soemarsono, Annisa Rahmita
AU - Yunus, Mahmud
N1 - Publisher Copyright:
© 2018 Published under licence by IOP Publishing Ltd.
PY - 2018/3/22
Y1 - 2018/3/22
N2 - Partial metric spaces are generalization of metric space. The distance from a point to itself need not be zero in partial metric space. By the properties of metric and partial metric space, we have the analogue of the two spaces. Using the analogue, we construct sequences in l2(P) with respect to a partial metric. We then investigate the convergence of sequences in l2(P). In this work, we obtain that the convergence of sequences in l2() can be established in l2(P) with respect to a partial metric.
AB - Partial metric spaces are generalization of metric space. The distance from a point to itself need not be zero in partial metric space. By the properties of metric and partial metric space, we have the analogue of the two spaces. Using the analogue, we construct sequences in l2(P) with respect to a partial metric. We then investigate the convergence of sequences in l2(P). In this work, we obtain that the convergence of sequences in l2() can be established in l2(P) with respect to a partial metric.
UR - http://www.scopus.com/inward/record.url?scp=85045755532&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/974/1/012058
DO - 10.1088/1742-6596/974/1/012058
M3 - Conference article
AN - SCOPUS:85045755532
SN - 1742-6588
VL - 974
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012058
T2 - 3rd International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2017
Y2 - 1 November 2017 through 1 November 2017
ER -