TY - JOUR
T1 - A study on convergence of sequences of functions in asymmetric metric spaces using ideals
AU - Ghosh, Argha
N1 - Publisher Copyright:
© 2023, Institute of Mathematics. All rights reserved.
PY - 2023
Y1 - 2023
N2 - We introduce and study the notions of backward and forward I(α)-convergence and I-exhaustiveness of sequences of functions between asymmetric metric spaces. We establish a relation between backward (resp. forward) I(α)-convergent and backward (resp. forward) I-exhaustiveness. Also, we introduce and study ideal versions of some classical notions (Alexandroff and strong uniform) of convergence of sequences of functions in this context. We give some examples to ensure the alternation of basic results from the metric case.
AB - We introduce and study the notions of backward and forward I(α)-convergence and I-exhaustiveness of sequences of functions between asymmetric metric spaces. We establish a relation between backward (resp. forward) I(α)-convergent and backward (resp. forward) I-exhaustiveness. Also, we introduce and study ideal versions of some classical notions (Alexandroff and strong uniform) of convergence of sequences of functions in this context. We give some examples to ensure the alternation of basic results from the metric case.
UR - https://www.scopus.com/pages/publications/85165925276
UR - https://www.scopus.com/pages/publications/85165925276#tab=citedBy
U2 - 10.30755/NSJOM.12544
DO - 10.30755/NSJOM.12544
M3 - Article
AN - SCOPUS:85165925276
SN - 1450-5444
VL - 53
SP - 97
EP - 116
JO - Novi Sad Journal of Mathematics
JF - Novi Sad Journal of Mathematics
IS - 1
ER -